Question

Two long, parallel wires are attracted to each other by a force per unit length of 350 µN/m. One wire carries a current of 22.5 A to the right and is located along the line y = 0.420 m. The second wire lies along the x axis. Determine the value of y for the line in the plane of the two wires along which the total magnetic field is zero.

Answer 1

given,

force per unit length = 350 µN/m

current, I = 22.5 A

y = y = 0.420 m

`(F)/(L)= (KI_1I_2)/(d)`

`I_2 = (F)/(L)(d)/(KI_1)`

`I_2 = 350* 10^(-6)* (0.42)/(2 * 10^(-7)* 22.5)`

I₂ = 32.67 A

distance where the magnetic field is zero

`(4\pi * 10^(-7)* 32.67)/(2\pi y_1)=(4\pi * 10^(-7)* 22.5)/(2\pi (0.42-y_1))`

`y_1 = 0.248\ m`

there the distance at which the magnetic field is zero in the two wire is at 0.248 m.