-- In the figure, a metal rod is forced to move with constant velocity along two
ID: 2243436 • Letter: #
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 = 0.312 T points out of the page. (a) If the rails are separated by 19.5 cm and the speed of the rod is 56.9 cm/s, what is the magnitude of the emf generated in volts? (b) If the rod has a resistance of 25.7 ? 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?
(a) V 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 = 0.312 T points out of the page. If the rails are separated by 19.5 cm and the speed of the rod is 56.9 cm/s, what is the magnitude of the emf generated in volts? If the rod has a resistance of 25.7 ? and the rails and connector have negligible resistance, what is the current in amperes in the rod? At what rate is energy being transferred to thermal energy?Explanation / Answer
(a) as v, B, l all are perpendicular to each other
so emf = B*l*v = 0.312*0.569*0.195 = 0.034617 volt
(b) I = v/r = 0.034617/25.7 = 1.34*10-3 A
(c) transfered thermal energy rate = I2*r = 4.61*10-5 j/s
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