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Problem 65 Easy Difficulty

In Figure $\mathrm{P} 20.65$ the rolling axle of length 1.50 $\mathrm{m}$ is pushed along horizontal rails at a constant speed $v=3.00 \mathrm{m} / \mathrm{s}$ . A resistor $R=0.400 \Omega$ is connected to the rails at points $a$ and $b,$ directly opposite each other. (The wheels make good electrical contact with the rails, so the axle, rails, and $R$ form a closed-loop circuit. The only significant resistance in the circuit is $R$ ) A uniform magnetic field $B=0.800 \mathrm{T}$ is directed vertically downward. (a) Find the induced current I in the resistor. (b) What horizontal force $\overrightarrow{\mathbf{F}}$ is required to keep the axle rolling at constant speed? (c) Which end of the resistor, $a$ or $b,$ is at the higher electric potential? (d) After the axle rolls past the resistor, does the current in $R$ reverse direction? Explain your answer.

Answer

a. 9.00 \mathrm{A}
b. 10.8 \mathrm{N}
c. b
d. \text { See explanation for result. }

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Video Transcript

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Georgia State University
Top Physics 102 Electricity and Magnetism Educators
Christina K.

Rutgers, The State University of New Jersey

LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Meghan M.

McMaster University

Physics 102 Electricity and Magnetism Bootcamp

Lectures

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