A square loop of copper is oriented in the xy-plane with two of its sides parallel to the x-axis. Its sides are each 1.0 m long. The total electrical resistance of the loop is 0.10 ?. The loop is moving in the positive x-direction at 40 m/s. The B-field in this region is non-uniform and is given by B~ = (0.10 T/m^2 )x 2ˆk.
(a) As the front side of the loop passes through x = 2.0 m find the induced emf in the front and back sides of the loop.
(b) Given your answers to a), what is the current in the loop at this instant?
(c) What force would be necessary to keep the loop moving at 40 m/s?
(d) If we keep it moving at 40 m/s, does the current increase or decrease as it moves farther in the x-direction? Explain.
(e) Because of the way I posed the problem, you should have done the previous parts of this question using the idea of a motional emf. Rederive the current in this loop using Faraday's Law and verify that you get the same answer.