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 = 0.431 T points out of the page. (a) If the rails are separated by 30.2 cm and the speed of the rod is 77.9 cm/s, what is the magnitude of the emf generated in volts? (b) If the rod has a resistance of 21.3 ? 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 = 0.431 T points out of the page. (a) If the rails are separated by 30.2 cm and the speed of the rod is 77.9 cm/s, what is the magnitude of the emf generated in volts? (b) If the rod has a resistance of 21.3 ? 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 generated =B*v*L = 0.431*0.302*0.779 = 0.1 V

resistance = 21.3 ohm

current = 0.1/21.3 = 4.7 mA

thermal energy disspated = i*R2 = 0.0047*21.32 = 2.13 W

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