Currents of `10A, 2A` are passed through two parallel wires `A` and `B` respectively in opposite directions. If the wire `A` is infinitely long and the length of the wire `B` is 2 metre, the force on the conductor `B`, which is situated at `10cm` distance from `A` will be

Options

A. `8xx10^(-7)`N
B. `8xx10^(-5)N`
C. `4xx10^(-7)N`
D. `4xx10^(-5)N`

Answer

B

Explanation

As force on the conductor B ltbvrgt `F=(mu_(0))/(2pi)(2i_(1)i_(2))/(r )`
`=(10^(-)xx2xx10xx2)/(0.1)xx2=8xx10^(-5) N`