The conducting rod shown in the figure has length L and is being pulled along horizontal, frictio…

The conducting rod shown in the figure has length L and is being pulled along horizontal, frictionless, conducting rails at a constant velocity. The rails are connected at one end with a metal strip. A uniform magnetic field, directed out of the page, fills the region in which the rod moves. Assume that L 8.3 cm, the speed of the rod is v = 4.4 m/s, and the magnitude of the magnetic field is B = 1.0 T. (a) what is the magnitude of emf induced in volts in the rod? (b) what is the current in amperes in the conducting loop? Assume that the resistance of the rod is 0.59 Ω and that the resistance of the rails and metal strip is negligibly small. (c) At what rate is thermal energy being generated in the rod? (d) What force on the rod is needed to maintain its velocity? (e) At what rate does this force do work on the rod? (a) Number (b) Number (c) Number (d) Number| (e) Number Units Units Units Units Units

Solutions

Expert Solution

A)

Emf, E = BLv = 1 x 4.4 x 0.083 = 0.365 V

B)

Current, I = E/R = 0.365/0.59 = 0.62 A

C)

Power, P = EI = 0.62 x 0.365 = 0.226 W

D)

Force, F = BIL = 1 x 0.62 x 0.083 = 0.051 N

E)

Power, P = Fv = 0.051 x 4.4 = 0.226 W