The rod has length L and its position is at x at some instant(as shown in figure

Question

The rod has length L and its position is at x at some instant(as shown in figure). Express your answers in terms of x, L,v, B (magnetic field strength) and R as needed. (a) What isthe area enclosed by the conduction loop at this instant? (b) Whatis the magnetic flux through the loop at this instant? (c) The rodmoves to the right at speed v. What rate is the fluxchanging? (d) According to Faraday's law, what is the induced emfin the loop? Compare your answers with E = vBL. (e)What is the induced current I? (f) Explain why the inducedcurrent flows counterclockwise around the loop.

Explanation / Answer

(a) Area = L x (b) = BA = B L x (c) d / dt = B L dx / dt = B L v (d) = B L v (e) I = B L v / R (f) Lenz's law states that the current induced in the wire loop hasthe direction such that the magnetic flux created by the currentopposes the change in the external magnetic flux that caused thecurrent.

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