Question

Using Faraday’s Law equation, answer the following mathematical questions.

A plane circular loop of conducting wire has a radius r = 8m and N = 4 turns. It is located in a uniform magnetic field. The magnetic field’s direction makes a 75° angle with respect to the normal of the loop. The magnitude of magnetic field B increases at a constant rate from B1 = 3.2 T to B2 = 4.7 T in a time interval of t =5s. If the resistance of the loop is R = 12.5 W, how much current flows around the loop as the magnetic field is increased?

What is the area of the loop?

What is the component of the magnetic field perpendicular to the loop?

What is the initial magnetic flux of the loop?

What is the final flux of the loop?

What is the time rate of change of the flux?

What is the emf generated around the loop?

Using your previous knowledge of Ohm’s Law, what is the current that flows around the loop in response to the EMF?

Answer 1