A 320-m length of wire stretches between two towers and carries a 120-a current. determine the magnitude of the force on the wire due to the earth's magnetic field of 5.0 * 10-5t which makes an angle of 60 ∘ with the wire.

Information provided:

Length of wire, L = 320 m

Current through the wire, I = 120 Amps

Earth's magnetic field acting on the wire, B = 5.0*10^-5 T

Angle at which the magnetic field acts, Ф = 60°

By definition;

Force on the wire, F = LBI Sin Ф

Substituting;

F = 320*5*10^-5*120*Sin 60 = 1.663 N