The conducting rod shown in the figure below has length L and is being pulled al

Question

The conducting rod shown in the figure below has length L and is being pulled along horizontal, frictionless conducting rails at a constant velocity v. The rails are connected at one end with a metal strip. A uniform magnetic field B, directed out of the page, fills the region in which the rod moves. Assume that L = 12 cm, v = 3.6 m/s, and B = 1.8 T. (a) What is the magnitude of the emf induced in the rod? (b) What is the direction of the emf induced in the rod? down the page up the page (c) What is the size of the current in the conducting loop? Assume that the resistance of the rod is 0.40 Ohm and that the resistance of the rails and metal strip is negligibly small. (d) What is the direction of the current in the loop? counterclockwise clockwise (e) At what rate is thermal energy being generated in the rod? W (f) What external force on the rod is needed to maintain v? (Take right to be positive. Indicate the direction with the sign of your answer.) N (g) At what rate does this force do work on the rod? W

Explanation / Answer

Here ,

e)

rate of thermal energy generated = V^2/R

rate of thermal energy generated = 0.77^2/(0.40)

rate of thermal energy generated = 1.48 W

f)

let the force needed is F

1.48 = F * 3.6

F = 0.412 N

the force needed is 0.412 N

g) work done by this force = 0.412 * 3.6

work done by this force = 1.48 W

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