Two thin long parallel wires separated by a distance b are carrying a current i

Question

Two thin long parallel wires separated by a distance b are carrying a current i amp each. The magnitude of the force per unit length exerted by one wire on the other is

Options:

A . μ0i2b2

B . μ0i22πb

C . μ0i2πb

D . μ0i2πb2

Answer: Option B
:
B
Force per unit length

= \frac{μ_{0}}{4 π} . \frac{2 i_{1} i_{2}}{r} = \frac{μ_{0}}{2 π} . \frac{i^{2}}{b}

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