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 = 0.413 T points out of the page. (a) If the rails are separated by 27.9 cm and the speed of the rod is 54.9 cm/s, what is the magnitude of the emf generated in volts? (b) If the rod has a resistance of 22.4 ? 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

part a )

e = vBL

L = 27.9 cm = 0.279 m

v = 54.9 cm/s = 0.549 m/s

e = 0.063 V

part b )

I = e/R

I = 0.063/22.4

I = 2.82 x 10^-3 A

part c)

P = I^2*R

P = 1.7865 x 10^-4 W

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