A long wire `A` carries a current of `10` amp. Another long wire `B`, which is parallel to `A` and separated by `0.1m` from `A`, carries a current of `5` amp, in the opposite direction to that in `A`. What is the magnitude and nature of the force experienced per unit length of `B`? `(mu_(0)=4pixx10^(-7)weber/amp-m)`

Options

A. Repulsive force of `10^(-4)` N/m
B. Attractive force of `10^(-4)` N/m
C. Repulsive force of `2pi xx 10^(-5)` N/m
D. Attractive force of `2pi xx 10^(-5)` N/m

Answer

A

Explanation

`(F)/(I) = (mu_(0) I_(1) I_(2))/(2pi d) = (2 xx 10^(-7) xx 10 xx 5)/(0.1) = 10^(-4)` N/m [Repulsive]