A wire-loop restricted to a plane is rotated within that same plane at a certain angular velocity. A uniform magnetic field is present throughout the region. Determine the emf induced in the loop.

Step-by-step solution

The magnetic flux through the loop is given by = B A = BA , where is the angle between the magnetic field and the area vector of the loop. Since the loop is rotated within its own plane, the direction of its area vector remains unchanged. The magnetic field is uniform and constant throughout the region. Therefore, the angle , the magnetic field magnitude B , and the area A of the loop all remain constant during the rotation. This means the magnetic flux through the loop is constant with time. According to Faraday's