Refer to Fig. 20.2. The rod has length L and its position is x at some instant, as shown in the figure. Express your answers in terms of x, L, v, B (the magnetic field magnitude), and R, as needed. 

(a) What is the area enclosed by the conducting loop at this instant? 

(b) What is the magnetic flux through the loop at this instant? 

(c) The rod moves to the right at speed v. At what rate is the flux changing? 

(d) According to Faraday’s law, what is the induced emf in the loop? Compare your answer with Eq. (20-5). 

(e) What is the induced current I? 

(f) Explain why the induced current flows counterclockwise around the loop.

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