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 = 0.450 m . The rails are connected by a 13.1 Omega resistor, and the entire system is in a uniform magnetic field with a magnitude of 0.759 T. Part A Find the force that must be exerted on the rod to maintain a constant current of 0.166 A 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)

let the force is F = B*I*L

F = 0.759 * 0.166 * 0.450

F = 0.0567 N

the force needed is 0.0567 N

part B)

rate of energy dissipated , P = I^2 * R

P = 0.166^2 * 13.1

P = 0.361 W

the rate of energy dissipating in the resistance is 0.361 W

part C)

mechnical power delivered to rod = rate of energy dissipating in resistor

mechnical power delivered to rod = 0.361 W

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