In FIGURE P31.33, a circular loop of radius r travels with speed v along a charged wire having linear charge density λ. The wire is at rest in the laboratory frame, and it passes through the center of the loop.

a. What are E and B at a point on the loop as measured by a scientist in the laboratory? Include both strength and direction.b. What are the fields E and B at a point on the loop as measured by a scientist in the frame of the loop?c. Show that an experimenter in the loop??s frame sees a current I = λv passing through the center of the loop.d. What electric and magnetic fields would an experimenter in the loop??s frame calculate at distance r from the current of part c?e. Show that your fields of parts b and d are the same.

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++++++ Linear density A FIGURE P31.33