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Force Between Two Parallel Current Carrying Conductors
A complete premium Physics guide by Kumar Sir covering attraction, repulsion, direction rules, derivation, ampere definition, rectangular loop near wire, suspended conductor equilibrium, inclined-plane conductor problems and exam-level questions.
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1. Introduction
When two long parallel conductors carry currents, each conductor produces a magnetic field at the position of the other conductor. Since a current-carrying conductor placed in a magnetic field experiences force, the two wires exert equal and opposite forces on each other.
B = μ₀I / 2πrF = ILB2. Same Direction Currents
When currents in two parallel conductors are in the same direction, the conductors attract each other.
3. Opposite Direction Currents
When currents in two parallel conductors are in opposite directions, the conductors repel each other.
4. Derivation of Force Between Two Parallel Conductors
Two long parallel conductors carry currents I₁ and I₂, separated by distance r. Consider length L.
F = μ₀I₁I₂L/2πr; F/L = μ₀I₁I₂/2πrB due to conductor 1 acts on conductor 2. A conductor does not exert magnetic force on itself.
5. Direction of Force
6. Definition of One Ampere
One ampere is that constant current which, if maintained in each of two straight parallel conductors of infinite length, negligible circular cross-section, and placed one metre apart in vacuum, produces a force of 2 × 10⁻⁷ newton per metre length between them.
F/L = 2 × 10⁻⁷ N/m7. Rectangular Current Loop Near a Long Straight Wire
Long wire current I₁, rectangular loop current I₂, near distance a, loop height h, parallel side length L.
F_net = μ₀I₁I₂L/2π [1/a - 1/(a+h)]Near side distance is a; far side distance is a+h.
8. Two Horizontal Parallel Conductors in Equilibrium
Upper conductor has weight mg or mass per unit length λ. Magnetic force balances weight.
μ₀I₁I₂L/2πr = mg; per unit length: μ₀I₁I₂/2πr = λgDo not mix total mass m with mass per unit length λ.
9. Current Carrying Conductor on an Inclined Plane
Inclined plane angle θ, conductor length L, current I, magnetic field B, mass m.
No friction: ILB = mg sinθ, so B = mg sinθ/ILChoose magnetic field direction carefully so force acts along required direction.
10. Applications
11. Common Student Mistakes
Correction: Draw currents, field direction and force direction before using formulas.
Correction: Draw currents, field direction and force direction before using formulas.
Correction: Draw currents, field direction and force direction before using formulas.
Correction: Draw currents, field direction and force direction before using formulas.
Correction: Draw currents, field direction and force direction before using formulas.
Correction: Draw currents, field direction and force direction before using formulas.
Correction: Draw currents, field direction and force direction before using formulas.
Correction: Draw currents, field direction and force direction before using formulas.
Correction: Draw currents, field direction and force direction before using formulas.
Correction: Draw currents, field direction and force direction before using formulas.
12. Exam Question Bank With Solutions
A. CBSE Board Questions
CBSE Theory Question 1Explain why two parallel current-carrying conductors exert force on each other.
CBSE Theory Question 2Derive force per unit length between two long parallel conductors.
CBSE Theory Question 3State and derive the SI definition of one ampere.
CBSE Theory Question 4Derive net force on a rectangular loop near a long straight wire.
CBSE Theory Question 5Explain suspended wire equilibrium using magnetic force and weight.
CBSE Theory Question 6Explain the inclined plane conductor equilibrium condition.
CBSE Theory Question 7Compare attraction and repulsion cases with diagrams.
CBSE Theory Question 8Explain why B due to one conductor acts on the other conductor, not on itself.
CBSE Theory Question 9Explain why two parallel current-carrying conductors exert force on each other.
CBSE Theory Question 10Derive force per unit length between two long parallel conductors.
CBSE Theory Question 11State and derive the SI definition of one ampere.
CBSE Theory Question 12Derive net force on a rectangular loop near a long straight wire.
CBSE Theory Question 13Explain suspended wire equilibrium using magnetic force and weight.
CBSE Theory Question 14Explain the inclined plane conductor equilibrium condition.
CBSE Theory Question 15Compare attraction and repulsion cases with diagrams.
CBSE Theory Question 16Explain why B due to one conductor acts on the other conductor, not on itself.
CBSE Theory Question 17Explain why two parallel current-carrying conductors exert force on each other.
CBSE Theory Question 18Derive force per unit length between two long parallel conductors.
CBSE Theory Question 19State and derive the SI definition of one ampere.
CBSE Theory Question 20Derive net force on a rectangular loop near a long straight wire.
CBSE Theory Question 21Explain suspended wire equilibrium using magnetic force and weight.
CBSE Theory Question 22Explain the inclined plane conductor equilibrium condition.
CBSE Theory Question 23Compare attraction and repulsion cases with diagrams.
CBSE Theory Question 24Explain why B due to one conductor acts on the other conductor, not on itself.
CBSE Theory Question 25Explain why two parallel current-carrying conductors exert force on each other.
CBSE Derivation Derivation 1Explain why two parallel current-carrying conductors exert force on each other.
CBSE Derivation Derivation 2Derive force per unit length between two long parallel conductors.
CBSE Derivation Derivation 3State and derive the SI definition of one ampere.
CBSE Derivation Derivation 4Derive net force on a rectangular loop near a long straight wire.
CBSE Derivation Derivation 5Explain suspended wire equilibrium using magnetic force and weight.
CBSE Derivation Derivation 6Explain the inclined plane conductor equilibrium condition.
CBSE Derivation Derivation 7Compare attraction and repulsion cases with diagrams.
CBSE Derivation Derivation 8Explain why B due to one conductor acts on the other conductor, not on itself.
CBSE Derivation Derivation 9Explain why two parallel current-carrying conductors exert force on each other.
CBSE Derivation Derivation 10Derive force per unit length between two long parallel conductors.
CBSE Derivation Derivation 11State and derive the SI definition of one ampere.
CBSE Derivation Derivation 12Derive net force on a rectangular loop near a long straight wire.
CBSE Derivation Derivation 13Explain suspended wire equilibrium using magnetic force and weight.
CBSE Derivation Derivation 14Explain the inclined plane conductor equilibrium condition.
CBSE Derivation Derivation 15Compare attraction and repulsion cases with diagrams.
CBSE Derivation Derivation 16Explain why B due to one conductor acts on the other conductor, not on itself.
CBSE Derivation Derivation 17Explain why two parallel current-carrying conductors exert force on each other.
CBSE Derivation Derivation 18Derive force per unit length between two long parallel conductors.
CBSE Derivation Derivation 19State and derive the SI definition of one ampere.
CBSE Derivation Derivation 20Derive net force on a rectangular loop near a long straight wire.
CBSE Numerical Numerical 1Explain why two parallel current-carrying conductors exert force on each other.
CBSE Numerical Numerical 2Derive force per unit length between two long parallel conductors.
CBSE Numerical Numerical 3State and derive the SI definition of one ampere.
CBSE Numerical Numerical 4Derive net force on a rectangular loop near a long straight wire.
CBSE Numerical Numerical 5Explain suspended wire equilibrium using magnetic force and weight.
CBSE Numerical Numerical 6Explain the inclined plane conductor equilibrium condition.
CBSE Numerical Numerical 7Compare attraction and repulsion cases with diagrams.
CBSE Numerical Numerical 8Explain why B due to one conductor acts on the other conductor, not on itself.
CBSE Numerical Numerical 9Explain why two parallel current-carrying conductors exert force on each other.
CBSE Numerical Numerical 10Derive force per unit length between two long parallel conductors.
CBSE Numerical Numerical 11State and derive the SI definition of one ampere.
CBSE Numerical Numerical 12Derive net force on a rectangular loop near a long straight wire.
CBSE Numerical Numerical 13Explain suspended wire equilibrium using magnetic force and weight.
CBSE Numerical Numerical 14Explain the inclined plane conductor equilibrium condition.
CBSE Numerical Numerical 15Compare attraction and repulsion cases with diagrams.
CBSE Numerical Numerical 16Explain why B due to one conductor acts on the other conductor, not on itself.
CBSE Numerical Numerical 17Explain why two parallel current-carrying conductors exert force on each other.
CBSE Numerical Numerical 18Derive force per unit length between two long parallel conductors.
CBSE Numerical Numerical 19State and derive the SI definition of one ampere.
CBSE Numerical Numerical 20Derive net force on a rectangular loop near a long straight wire.
CBSE Numerical Numerical 21Explain suspended wire equilibrium using magnetic force and weight.
CBSE Numerical Numerical 22Explain the inclined plane conductor equilibrium condition.
CBSE Numerical Numerical 23Compare attraction and repulsion cases with diagrams.
CBSE Numerical Numerical 24Explain why B due to one conductor acts on the other conductor, not on itself.
CBSE Numerical Numerical 25Explain why two parallel current-carrying conductors exert force on each other.
CBSE Case Case 1Explain why two parallel current-carrying conductors exert force on each other.
CBSE Case Case 2Derive force per unit length between two long parallel conductors.
CBSE Case Case 3State and derive the SI definition of one ampere.
CBSE Case Case 4Derive net force on a rectangular loop near a long straight wire.
CBSE Case Case 5Explain suspended wire equilibrium using magnetic force and weight.
CBSE Case Case 6Explain the inclined plane conductor equilibrium condition.
CBSE Case Case 7Compare attraction and repulsion cases with diagrams.
CBSE Case Case 8Explain why B due to one conductor acts on the other conductor, not on itself.
CBSE Case Case 9Explain why two parallel current-carrying conductors exert force on each other.
CBSE Case Case 10Derive force per unit length between two long parallel conductors.
B. NEET Questions
NEET Q1Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q2Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q3Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q4If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q5The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q6In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q7Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q8If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q9Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q10Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q11Variant 2: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q12Variant 2: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q13Variant 2: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q14Variant 2: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q15Variant 2: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q16Variant 2: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q17Variant 2: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q18Variant 2: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q19Variant 2: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q20Variant 2: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q21Variant 3: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q22Variant 3: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q23Variant 3: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q24Variant 3: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q25Variant 3: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q26Variant 3: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q27Variant 3: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q28Variant 3: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q29Variant 3: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q30Variant 3: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q31Variant 4: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q32Variant 4: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q33Variant 4: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q34Variant 4: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q35Variant 4: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q36Variant 4: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q37Variant 4: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q38Variant 4: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q39Variant 4: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q40Variant 4: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q41Variant 5: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q42Variant 5: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q43Variant 5: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q44Variant 5: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q45Variant 5: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q46Variant 5: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q47Variant 5: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q48Variant 5: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q49Variant 5: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q50Variant 5: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q51Variant 6: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q52Variant 6: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q53Variant 6: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q54Variant 6: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q55Variant 6: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q56Variant 6: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q57Variant 6: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q58Variant 6: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q59Variant 6: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q60Variant 6: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q61Variant 7: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q62Variant 7: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q63Variant 7: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q64Variant 7: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q65Variant 7: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q66Variant 7: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q67Variant 7: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q68Variant 7: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q69Variant 7: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q70Variant 7: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q71Variant 8: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q72Variant 8: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q73Variant 8: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q74Variant 8: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
NEET Q75Variant 8: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
C. JEE Main Questions
JEE Main Q1Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q2Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q3Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q4If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q5The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q6In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q7Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q8If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q9Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q10Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q11Variant 2: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q12Variant 2: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q13Variant 2: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q14Variant 2: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q15Variant 2: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q16Variant 2: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q17Variant 2: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q18Variant 2: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q19Variant 2: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q20Variant 2: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q21Variant 3: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q22Variant 3: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q23Variant 3: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q24Variant 3: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q25Variant 3: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q26Variant 3: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q27Variant 3: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q28Variant 3: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q29Variant 3: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q30Variant 3: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q31Variant 4: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q32Variant 4: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q33Variant 4: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q34Variant 4: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q35Variant 4: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q36Variant 4: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q37Variant 4: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q38Variant 4: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q39Variant 4: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q40Variant 4: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q41Variant 5: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q42Variant 5: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q43Variant 5: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q44Variant 5: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q45Variant 5: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q46Variant 5: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q47Variant 5: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q48Variant 5: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q49Variant 5: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q50Variant 5: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q51Variant 6: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q52Variant 6: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q53Variant 6: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q54Variant 6: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q55Variant 6: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q56Variant 6: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q57Variant 6: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q58Variant 6: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q59Variant 6: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q60Variant 6: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q61Variant 7: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q62Variant 7: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q63Variant 7: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q64Variant 7: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q65Variant 7: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q66Variant 7: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q67Variant 7: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q68Variant 7: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q69Variant 7: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q70Variant 7: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q71Variant 8: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q72Variant 8: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q73Variant 8: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q74Variant 8: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Main Q75Variant 8: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
D. JEE Advanced Questions
JEE Advanced Single Correct Q1Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q2Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q3Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q4If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q5The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q6In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q7Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q8If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q9Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q10Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q11Variant 2: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q12Variant 2: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q13Variant 2: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q14Variant 2: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q15Variant 2: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q16Variant 2: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q17Variant 2: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q18Variant 2: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q19Variant 2: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q20Variant 2: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q21Variant 3: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q22Variant 3: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q23Variant 3: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q24Variant 3: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q25Variant 3: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q26Variant 3: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q27Variant 3: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q28Variant 3: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q29Variant 3: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Single Correct Q30Variant 3: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q1Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q2Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q3Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q4If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q5The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q6In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q7Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q8If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q9Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q10Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q11Variant 2: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q12Variant 2: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q13Variant 2: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q14Variant 2: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q15Variant 2: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q16Variant 2: In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q17Variant 2: Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q18Variant 2: If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q19Variant 2: Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Multiple Correct Q20Variant 2: Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q1Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q2Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q3Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q4If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q5The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q6In a rectangular loop near a straight wire, forces on horizontal sides
- add
- cancel
- are maximum only
- are zero always
Detailed Explanation: They are equal and opposite for the standard rectangular loop setup.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q7Net force on rectangular loop depends mainly on
- near and far parallel sides
- only horizontal sides
- only length h
- no current
Detailed Explanation: Near and far vertical sides have different distances and hence different forces.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q8If magnetic force balances weight for upper wire, condition per unit length is
- μ₀I₁I₂/2πr = λg
- I₁I₂=mg
- B=0
- r=0
Detailed Explanation: Use F/L = λg.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q9Wrong distance in rectangular loop formula is often
- using a+h for near side
- using a for near side
- using a+h for far side
- using L for length
Detailed Explanation: Near side is at a and far side is at a+h.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q10Force on a current carrying conductor in magnetic field is
- ILB sinφ
- IR
- qE
- μ₀I/2πr
Detailed Explanation: F = ILB sinφ; here perpendicular cases use sinφ=1.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q11Variant 2: Two long parallel wires carrying currents in the same direction
- attract
- repel
- do not interact
- become neutral
Detailed Explanation: Same direction currents attract.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q12Variant 2: Two long parallel wires carrying currents in opposite directions
- attract
- repel
- do not interact
- short circuit
Detailed Explanation: Opposite direction currents repel.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q13Variant 2: Force per unit length between two wires is
- μ₀I₁I₂/2πr
- μ₀I₁I₂r/2π
- μ₀I₁/2πr
- I₂LB
Detailed Explanation: F/L = μ₀I₁I₂/2πr.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q14Variant 2: If separation is doubled, force per unit length becomes
- double
- half
- four times
- zero
Detailed Explanation: F/L is inversely proportional to r.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Integer Type Q15Variant 2: The SI definition of ampere is based on force per metre equal to
- 2×10⁻⁷ N/m
- 4π×10⁻⁷ N/m
- 1 N/m
- 9.8 N/m
Detailed Explanation: For I₁=I₂=1 A and r=1 m, F/L=2×10⁻⁷ N/m.
Common Student Mistake: First decide direction of currents, then field direction, then force direction.
JEE Advanced Matrix Match Matrix 1Explain why two parallel current-carrying conductors exert force on each other.
JEE Advanced Matrix Match Matrix 2Derive force per unit length between two long parallel conductors.
JEE Advanced Matrix Match Matrix 3State and derive the SI definition of one ampere.
JEE Advanced Matrix Match Matrix 4Derive net force on a rectangular loop near a long straight wire.
JEE Advanced Matrix Match Matrix 5Explain suspended wire equilibrium using magnetic force and weight.
JEE Advanced Matrix Match Matrix 6Explain the inclined plane conductor equilibrium condition.
JEE Advanced Matrix Match Matrix 7Compare attraction and repulsion cases with diagrams.
JEE Advanced Matrix Match Matrix 8Explain why B due to one conductor acts on the other conductor, not on itself.
JEE Advanced Matrix Match Matrix 9Explain why two parallel current-carrying conductors exert force on each other.
JEE Advanced Matrix Match Matrix 10Derive force per unit length between two long parallel conductors.
JEE Advanced Paragraph Paragraph 1Explain why two parallel current-carrying conductors exert force on each other.
JEE Advanced Paragraph Paragraph 2Derive force per unit length between two long parallel conductors.
JEE Advanced Paragraph Paragraph 3State and derive the SI definition of one ampere.
JEE Advanced Paragraph Paragraph 4Derive net force on a rectangular loop near a long straight wire.
JEE Advanced Paragraph Paragraph 5Explain suspended wire equilibrium using magnetic force and weight.
JEE Advanced Paragraph Paragraph 6Explain the inclined plane conductor equilibrium condition.
JEE Advanced Paragraph Paragraph 7Compare attraction and repulsion cases with diagrams.
JEE Advanced Paragraph Paragraph 8Explain why B due to one conductor acts on the other conductor, not on itself.
JEE Advanced Paragraph Paragraph 9Explain why two parallel current-carrying conductors exert force on each other.
JEE Advanced Paragraph Paragraph 10Derive force per unit length between two long parallel conductors.
E. IB Physics Questions
IB Structured 1Explain why two parallel current-carrying conductors exert force on each other.
IB Structured 2Derive force per unit length between two long parallel conductors.
IB Structured 3State and derive the SI definition of one ampere.
IB Structured 4Derive net force on a rectangular loop near a long straight wire.
IB Structured 5Explain suspended wire equilibrium using magnetic force and weight.
IB Structured 6Explain the inclined plane conductor equilibrium condition.
IB Structured 7Compare attraction and repulsion cases with diagrams.
IB Structured 8Explain why B due to one conductor acts on the other conductor, not on itself.
IB Structured 9Explain why two parallel current-carrying conductors exert force on each other.
IB Structured 10Derive force per unit length between two long parallel conductors.
IB Structured 11State and derive the SI definition of one ampere.
IB Structured 12Derive net force on a rectangular loop near a long straight wire.
IB Structured 13Explain suspended wire equilibrium using magnetic force and weight.
IB Structured 14Explain the inclined plane conductor equilibrium condition.
IB Structured 15Compare attraction and repulsion cases with diagrams.
IB Structured 16Explain why B due to one conductor acts on the other conductor, not on itself.
IB Structured 17Explain why two parallel current-carrying conductors exert force on each other.
IB Structured 18Derive force per unit length between two long parallel conductors.
IB Structured 19State and derive the SI definition of one ampere.
IB Structured 20Derive net force on a rectangular loop near a long straight wire.
IB Structured 21Explain suspended wire equilibrium using magnetic force and weight.
IB Structured 22Explain the inclined plane conductor equilibrium condition.
IB Structured 23Compare attraction and repulsion cases with diagrams.
IB Structured 24Explain why B due to one conductor acts on the other conductor, not on itself.
IB Structured 25Explain why two parallel current-carrying conductors exert force on each other.
F. ICSE Physics Questions
ICSE Question 1Explain why two parallel current-carrying conductors exert force on each other.
ICSE Question 2Derive force per unit length between two long parallel conductors.
ICSE Question 3State and derive the SI definition of one ampere.
ICSE Question 4Derive net force on a rectangular loop near a long straight wire.
ICSE Question 5Explain suspended wire equilibrium using magnetic force and weight.
ICSE Question 6Explain the inclined plane conductor equilibrium condition.
ICSE Question 7Compare attraction and repulsion cases with diagrams.
ICSE Question 8Explain why B due to one conductor acts on the other conductor, not on itself.
ICSE Question 9Explain why two parallel current-carrying conductors exert force on each other.
ICSE Question 10Derive force per unit length between two long parallel conductors.
ICSE Question 11State and derive the SI definition of one ampere.
ICSE Question 12Derive net force on a rectangular loop near a long straight wire.
ICSE Question 13Explain suspended wire equilibrium using magnetic force and weight.
ICSE Question 14Explain the inclined plane conductor equilibrium condition.
ICSE Question 15Compare attraction and repulsion cases with diagrams.
ICSE Question 16Explain why B due to one conductor acts on the other conductor, not on itself.
ICSE Question 17Explain why two parallel current-carrying conductors exert force on each other.
ICSE Question 18Derive force per unit length between two long parallel conductors.
ICSE Question 19State and derive the SI definition of one ampere.
ICSE Question 20Derive net force on a rectangular loop near a long straight wire.
ICSE Question 21Explain suspended wire equilibrium using magnetic force and weight.
ICSE Question 22Explain the inclined plane conductor equilibrium condition.
ICSE Question 23Compare attraction and repulsion cases with diagrams.
ICSE Question 24Explain why B due to one conductor acts on the other conductor, not on itself.
ICSE Question 25Explain why two parallel current-carrying conductors exert force on each other.
G. IGCSE Physics Questions
IGCSE Question 1Explain why two parallel current-carrying conductors exert force on each other.
IGCSE Question 2Derive force per unit length between two long parallel conductors.
IGCSE Question 3State and derive the SI definition of one ampere.
IGCSE Question 4Derive net force on a rectangular loop near a long straight wire.
IGCSE Question 5Explain suspended wire equilibrium using magnetic force and weight.
IGCSE Question 6Explain the inclined plane conductor equilibrium condition.
IGCSE Question 7Compare attraction and repulsion cases with diagrams.
IGCSE Question 8Explain why B due to one conductor acts on the other conductor, not on itself.
IGCSE Question 9Explain why two parallel current-carrying conductors exert force on each other.
IGCSE Question 10Derive force per unit length between two long parallel conductors.
IGCSE Question 11State and derive the SI definition of one ampere.
IGCSE Question 12Derive net force on a rectangular loop near a long straight wire.
IGCSE Question 13Explain suspended wire equilibrium using magnetic force and weight.
IGCSE Question 14Explain the inclined plane conductor equilibrium condition.
IGCSE Question 15Compare attraction and repulsion cases with diagrams.
IGCSE Question 16Explain why B due to one conductor acts on the other conductor, not on itself.
IGCSE Question 17Explain why two parallel current-carrying conductors exert force on each other.
IGCSE Question 18Derive force per unit length between two long parallel conductors.
IGCSE Question 19State and derive the SI definition of one ampere.
IGCSE Question 20Derive net force on a rectangular loop near a long straight wire.
IGCSE Question 21Explain suspended wire equilibrium using magnetic force and weight.
IGCSE Question 22Explain the inclined plane conductor equilibrium condition.
IGCSE Question 23Compare attraction and repulsion cases with diagrams.
IGCSE Question 24Explain why B due to one conductor acts on the other conductor, not on itself.
IGCSE Question 25Explain why two parallel current-carrying conductors exert force on each other.
H. British Curriculum / A-Level Physics
A-Level Advanced 1Explain why two parallel current-carrying conductors exert force on each other.
A-Level Advanced 2Derive force per unit length between two long parallel conductors.
A-Level Advanced 3State and derive the SI definition of one ampere.
A-Level Advanced 4Derive net force on a rectangular loop near a long straight wire.
A-Level Advanced 5Explain suspended wire equilibrium using magnetic force and weight.
A-Level Advanced 6Explain the inclined plane conductor equilibrium condition.
A-Level Advanced 7Compare attraction and repulsion cases with diagrams.
A-Level Advanced 8Explain why B due to one conductor acts on the other conductor, not on itself.
A-Level Advanced 9Explain why two parallel current-carrying conductors exert force on each other.
A-Level Advanced 10Derive force per unit length between two long parallel conductors.
A-Level Advanced 11State and derive the SI definition of one ampere.
A-Level Advanced 12Derive net force on a rectangular loop near a long straight wire.
A-Level Advanced 13Explain suspended wire equilibrium using magnetic force and weight.
A-Level Advanced 14Explain the inclined plane conductor equilibrium condition.
A-Level Advanced 15Compare attraction and repulsion cases with diagrams.
A-Level Advanced 16Explain why B due to one conductor acts on the other conductor, not on itself.
A-Level Advanced 17Explain why two parallel current-carrying conductors exert force on each other.
A-Level Advanced 18Derive force per unit length between two long parallel conductors.
A-Level Advanced 19State and derive the SI definition of one ampere.
A-Level Advanced 20Derive net force on a rectangular loop near a long straight wire.
A-Level Advanced 21Explain suspended wire equilibrium using magnetic force and weight.
A-Level Advanced 22Explain the inclined plane conductor equilibrium condition.
A-Level Advanced 23Compare attraction and repulsion cases with diagrams.
A-Level Advanced 24Explain why B due to one conductor acts on the other conductor, not on itself.
A-Level Advanced 25Explain why two parallel current-carrying conductors exert force on each other.
13. Case Study Section
Case Study 1two parallel wires
Case Study 2current balance
Case Study 3ampere definition
Case Study 4power transmission lines
Case Study 5rectangular loop near wire
Case Study 6suspended wire equilibrium
Case Study 7inclined plane wire
Case Study 8two parallel wires
Case Study 9current balance
Case Study 10ampere definition
Case Study 11power transmission lines
Case Study 12rectangular loop near wire
Case Study 13suspended wire equilibrium
Case Study 14inclined plane wire
Case Study 15two parallel wires
Case Study 16current balance
Case Study 17ampere definition
Case Study 18power transmission lines
Case Study 19rectangular loop near wire
Case Study 20suspended wire equilibrium
14. Final Revision Sheet
B = μ₀I/2πrF = ILBF = μ₀I₁I₂L/2πrF/L = μ₀I₁I₂/2πrF/L = 2×10⁻⁷ N/mF_net = μ₀I₁I₂L/2π[1/a - 1/(a+h)]μ₀I₁I₂/2πr = λgILB = mg sinθDirection summary: same direction currents attract; opposite direction currents repel. NEET trap: use force per unit length. JEE trap: in rectangular loop, near and far sides have different fields.
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