Two parallel wires of length `9 m` each are separated by a distance `0.15 m` .If they carry equal currents in the same direction and exerts a total force of `30xx10^(-7)N` on each other, then the value of current must be

Options

A. 2.5 amp
B. 3.5 amp
C. 1.5 amp
D. 0.5 amp

Answer

D

Explanation

`F = ((mu_(0) I^2)/(2pi d)) implies I = sqrt((F xx 2pi d)/(mu_(0) xx l))`
`implies I = sqrt((30 xx 10^(-7) xx 0.15)/(2 xx 10^(-7) xx 9)) = 0.5A`