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 = 0502 T points out of the page, (a) If the rails is are separated by 21 9 cm and the speed of the rod is 46.0 cm/s, what is the magnitude of the emf generated in volts? (b) If the rod has a resistance of 22.1 ohm 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? Number units Number units Number units Number units

Explanation / Answer

B = 0.302 T

a) L = 21.9 cm = 0.219 m

v = 0.46 m/s

magnitude of emf generated = B* v * L

magnitude of emf generated = 0.302 * 0.46 * 0.219

magnitude of emf generated = 0.0304 V

b)

current in rod = emf/R

current in rod = 0.0304/22.1

current in rod = 1.37 * 10^-3 A

c)

rate of production of thermal energy = I^2 * R

rate of production of thermal energy = (1.37 *10^-3)^2 * 22.1

rate of production of thermal energy = 4.15 *10^-5 W

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