Problem 23.39 The figure(Figure 1) shows a zero-resistance rod sliding to the ri

Question

Problem 23.39

The figure(Figure 1) shows a zero-resistance rod sliding to the right on two zero-resistance rails separated by the distance L = 0.372m . The rails are connected by a 11.9? resistor, and the entire system is in a uniform magnetic field with a magnitude of 0.724T .

Part A

Find the force that must be exerted on the rod to maintain a constant current of 0.135A in the resistor.

Part B

What is the rate of energy dissipation in the resistor?

Part C

What is the mechanical power delivered to the rod?

Explanation / Answer

PART A

force F = iLB

i =  0.135A

L = 0.372m

B = 0.724T .

that gives force

F= 3.64 x 10-2N

PART B

rate of energy dissipation P = i2R

P =0.1352 x11.9 = 0.217W

PART C

mechanical power = electrical power dissipated

P = 0.217 W

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