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In the figure, a metal rod is forced to move with constant velocity along two pa

ID: 1270731 • Letter: I

Question

In the figure, a metal rod is forced to move with constant velocity along two parallel metal rails, connected with a strip of metal at one end. A magnetic field of magnitude B = 0.512 T points out of the page, (a) If the rails are separated by 29.5 cm and the speed of the rod is 47.3 cm/s, what is the magnitude of the emf generated in volts? (b) If the rod has a resistance of 25.7 Q and the rails and connector have negligible resistance, what is the current in amperes in the rod? (c) At what rate is energy being transferred to thermal energy?

Explanation / Answer

emf = 0.512 * 29.5 * 47.3 *10^(-4) = 714.42e(-4) V

current = 714.42e(-4)/25.7= 27.798(-4) A

rate of energy = 1.99e(-4) W

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