A rod of length |E| is perpendicular to a long wire carrying current I, as shown in

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A rod of length |E| is perpendicular to a long wire carrying current I, as shown in Figure. The near end of the rod is a distance d away from the wire. The rod moves with a speed v in the direction of the current I.

(a) Show that the potential difference between the ends of the rod is given by

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(b) Use Faraday's law to obtain this result by considering the flux through a rectangula r area A = ? vt swept out by the rod.

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