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A square loop of wire with side length L and resistance R is moved at constant speed v across a uniform magnetic field confined to a square region whose sides are twice the length of those of the square loop (Fig. 29.39). (a) Graph the external force F needed to move the loop at constant speed as a function of the coordinate x from x = −2L to x = +2L. (The coordinate x is measured from the center of the magnetic-field region to the center of the loop. It is negative when the center of the loop is to the left of the center of the magnetic-field region. Take positive force to be to the right.) (b) Graph the induced current in the loop as a function of x. Take counterclockwise currents to be positive.
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