Question

Two power lines run parallel for a distance of 220 m and are separated by a distance of 40.0 cm. If the current in each of the two lines is 130 A and if they run in opposite directions, determine the magnitude and direction of the force each wire exerts on the other. magnitude

Answer 1

The magnitude of force is 1.86 N and the direction of force is towards the other wire.

Step-by-step explanation:

Given:

Current flowing through each power line, I = 130 A

Distance between the two power lines, d = 40 cm = 0.4 m

Length of power lines, L = 220 m

The force exerted by the power lines on each other is given by the relation:

`F = (\mu_(0)LII )/(2\pi d)`

Substitute the suitable values in the above equation.

`F = (4\pi*10^(-7)*220*130*130 )/(2\pi*0.4)`

F = 1.86 N

Since the direction of current flowing through the power lines are opposite to each other, so the force is attractive in nature. Hence, the direction of force experienced by the power lines on each other is towards the each other.