If the loop sits in a uniform magnetic field of 3.5~T3.5 T that is oriented in the horizontal +x direction, what is the magnitude of the torque on the wire loop?

The magnitude of the torque on the wire loop is 3.68 Nm.

Explanation:

Given that,

Magnetic field = 3.5 T

Suppose, A circular wire loop with a radius of 62.7 cm lies flat in the horizontal x-y plane and contains a current of 852 mA that runs counter-clockwise in the wire loop when viewed from above.

We need to calculate the area

Using formula of area

Put the value into the formula

We need to calculate the magnitude of the torque on the wire loop

Using formula of magnetic field

Put the value into the formula

Hence, The magnitude of the torque on the wire loop is 3.68 Nm.