Two long, parallel, current-carrying wires lie in an xy-plane. The first wire lies on the line y = 0.350 m and carries a current of 34.0 A in the +x direction. The second wire lies along the x-axis. The wires exert attractive forces on each other, and the force per unit length on each wire is 285 µN/m. What is the y-value (in m) of the line in the xy-plane where the total magnetic field is zero?

y = 0.105 m

Step-by-step explanation:

Given:

First wire: y = 0.350m & Current, I = 34.0A

Force per unit length on each wire = 285 µN/m

Required:

What is the y-value (in m) of the line in the xy-plane where the total magnetic field is zero?

First find the current in the second wire:

Current in wire 2 = 14.67 A

Let y distance have zero magnetic field

Take the formula:

[

Collect like terms

42 inches then 10 1/2 deep

10 miles

step-by-step explanation: