Two long, straight wires are parallel and 5 cm apart. One carries a current of 2.0 A, the other a current of 5.0 A. If the two currents flow in the same directions, what is the magnitude and direction of the force per unit length of one wire on the other?

The force unit length of one wire on the other is 4.0 x 10⁻⁵ N/m

Explanation:

Given;

distance between the two wires, r = 5 cm = 0.05 m

current on the first wire, I₁ = 2A

current on the second wire, I₂ = 5A

Force per unit length on two parallel current carrying conductors is given as:

substitute in the values given into the equation;

Therefore, the force unit length of one wire on the other is 4.0 x 10⁻⁵ N/m

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at right angles to each other