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

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 = 0.417 T points out of the page. (a) If the rails are separated by 34.5 cm and the speed of the rod is 48.6 cm/s, what is the magnitude of the emf generated in volts?(b) If the rod has a resistance of 26.4 ? 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

a) The magnitude of emf generated is

                   ? = BLv

                      = (0.417T)(0.345m)(0.486 m/s)

                      = 0.0699V

b)    The current in the rod is

               I = ?/R

                 = (0.0699V)/(26.4?)

                  =0.002648 A

c) The power is

           P =VI

              = (0.0699V)(0.002648A)

             = 26.39 W

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