JEE Main20199 Jan 2019Morning ShiftPhysicsMagnetic Effects of CurrentActual
An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is a and distance of its centre from the wire is d d ≫ a . If the loop applies a force F on the wire then:
Options
- AF ∝ a d 2
- BF = 0
- CF ∝ a 2 d 3
- DF ∝ a d
Correct answer
A. F ∝ a d 2
Step-by-step solution
U = - P → . B - F = - ∂ U ∂ r = P d B d r F = i 2 π a 2 × d d r μ 0 i 1 2 π r F = i 1 i 2 π 0 a 2 2 1 r 2 F ∝ a r 2 As r = d F ∝ a 2 d 2