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Two long parallel wires separated by a distance d have equal current i flowing in each. The magnetic field of one exerts a force F on the other. The distance d is increased to 2 d and current in each wire is reduced from i to i / 2 What is the force between them now ?

a
F
b
F/2
c
F/4
d
F/8

detailed solution

Correct option is D

Force per unit length of the wire is given byF=μ04π×2i1i2d=μ04π×2i2d ∵i1=i2=iWhen d is increased to 2 d and i is reduced to i / 2, thenF′=m04π×2(i/2)22d=μ04π×2i28d=18μ04π×2i2d=F/8

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