Assume that the loop is initially positioned at θ=30∘ and the current flowing into the loop is 0.500 a . if the magnitude of the magnetic field is 0.300 t , what is τ, the net torque about the vertical axis of the current loop due to the interaction of the current with the magnetic field?

To develop this exercise, it is necessary to apply the definitions given by Faraday in its laws for the calculation of solenoids.

By definition the electromagnetic Torque is described as

Where,

N = Number of loops

I = Current

B = Magnetic Field

A = Cross-sectional Area

Angle between the loop and the magnetic field.

At this case the angle would be

There is only one loop for this calculations, then our values are

I = 0.5A

B = 0.3 T

N = 1

Replacing in our equation we have

Therefore the net torque about the vertical axis of the current loop due to the interaction of the current with the magnetic field is

no. dot product   =0 when vecs at right angles