Two long straight wires are separated by a distance of d = 0.40 m. The currents are I1 = 1.0 A to the right in the upper wire and I2 = 8.0 A to the left in the lower wire. What are the magnitude and direction of the magnetic field at point P, that is a distance d/2 = 0.20 m below the lower wire?

Mangetic field, is 1 μT acting upward due to the current in the upward wire.

Explanation:

Given;

distance of separation of the two wires, d = 0.4 m

the current in the upper wire, I₁ = 1.0 A

the current in the lower wire, I₂ = 8.0 A

The magnetic field at point P, that is a distance d/2 = 0.20 m below the lower wire, is due to the current in the upper wire;

The direction is upward, since the magnetic field is due to the current in the upward wire.

Therefore, the mangetic field, is 1 μT acting upward due to the current in the upward wire.

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle