33 O Figure 30-54 shows a rod of length L = 10.0 cm that is forced to x x x X x x X move at constant speed v = 5.00 m/s along horizontal rails. The rod, rails, and connecting strip at the right form a conducting loop. The rod has resistance 0.400 n; the rest of the loop has negligible resistance. A cur- rent i= 100 A through the long straight wire at distance a = 10.0 mm from the loop sets up a (nonuniform) magnetic field through the loop. Find the (a) emf and (b) current induced in the loop. (c) At what rate is thermal energy generated in the rod? (d) What is the magnitude of the force that must be applied to the rod to make it move at constant speed? (e) At what rate does this force do work on the rod? ::: L. Figure 30-54 Problem 33.

33 O Figure 30-54 shows a rod of length L = 10.0 cm that is forced to x x x X x x X move at constant speed v = 5.00 m/s along horizontal rails. The rod, rails, and connecting strip at the right form a conducting loop. The rod has resistance 0.400 n; the rest of the loop has negligible resistance. A cur- rent i= 100 A through the long straight wire at distance a = 10.0 mm from the loop sets up a (nonuniform) magnetic field through the loop. Find the (a) emf and (b) current induced in the loop. (c) At what rate is thermal energy generated in the rod? (d) What is the magnitude of the force that must be applied to the rod to make it move at constant speed? (e) At what rate does this force do work on the rod? ::: L. Figure 30-54 Problem 33.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

33 O Figure 30-54 shows a rod of
length L = 10.0 cm that is forced to
x x x X x x X
move at constant speed v = 5.00 m/s
along horizontal rails. The rod, rails,
and connecting strip at the right
form a conducting loop. The rod has
resistance 0.400 n; the rest of the
loop has negligible resistance. A cur-
rent i= 100 A through the long
straight wire at distance a = 10.0 mm
from the loop sets up a (nonuniform)
magnetic field through the loop. Find
the (a) emf and (b) current induced
in the loop. (c) At what rate is thermal energy generated in the
rod? (d) What is the magnitude of the force that must be applied to
the rod to make it move at constant speed? (e) At what rate does
this force do work on the rod?
:::
L.
Figure 30-54 Problem 33.

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Step 1: a) Find the induced emf:

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Step 2: b) Calculate the induced current:

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Step 3: c) Calculate the rate of thermal energy generation:

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Step 4: d) Calculate the force:

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Step 5: e) Calculate the rate of work done by the force:

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