When two infinitely long parallel wires separated by a distance of 1 m, each carry a currentof 3 A, the force in `Nm^(-1)` length experienced by each will be given `mu_(0)=4pixx10^(-7)Hm^(-1)` SI units

Options

A. `2xx10^(-7)`
B. `3xx10^(-7)`
C. `6xx10^(-7)`
D. `18xx10^(-7)`

Answer

D

Explanation

Force per unit length, `F=(mu_(0))/(2pi)(i_(1)i_(2))/(r)`
Given `r=1" "M,i_(1)=i_(2)=3`
`f=(4pixx10^(-7))/(2pi)xx(3xx3)/(I)=2xx9xx10^(-7)`
`=18xx10^(-7)`