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 `2pixx10^(-5)N//m`
D. Attractive force of `2pixx10^(-5)N//m`

Answer

A

Explanation

`F=(mu_(0))/(4pi)(2i_(1)i_(2))/(r)=10^(-7)xx(2xx10xx5)/(0.1)=10^(-4)N` (Repulsive)