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 8 = 0.488 T points out of the page, (a) If the rails are separated by 22.5 cm and the speed of the rod Is 77.9 cm/s, what is the magnitude of the emf generated In volts? If the rod has a resistance of 19.1 Q 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

magnetic flux = B*A = B*L*dx

induced emf =rate of change in flux

e = B*dx/dt*L

e = 0.488*0.779*0.225

e = 0.0855342 v

+++++++++++++++++++

(b)

current i = e/R = 0.0855342/19.1

i = 0.00448 A

++++++

(c)

rate of energy = i^2*R = 0.00448^2*19.1 = 0.000383 W

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