In FIGURE P31.33, a circular loop of radius r travels with

Chapter 31, Problem 31.59

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In FIGURE P31.33, a circular loop of radius r travels with speed v along a charged wire having linear charge density l. The wire is at rest in the laboratory frame, and it passes through the center of the loop. a. What are E u and B u 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 u and B u at a point on the loop as measured by a scientist in the frame of the loop? c. Show that an experimenter in the loops frame sees a current I = lv passing through the center of the loop. d. What electric and magnetic fields would an experimenter in the loops frame calculate at distance r from the current of part c? e. Show that your fields of parts b and d are the same.