A rod of m= 1.5 kg rests on two parallel rails that are L = 0.85 m apart. The rod carries a current going between the rails (bottom to top in the figure, into the page) with a magnitude I = 2.7 A. A uniform magnetic field of magnitude B= 0.85 T pointing upward is applied to the region, as shown in the figure. The rod moves a distance d = 0.15 m along the rails in a given time period. Ignore the friction on the rails. L Express the magnitude of the magnetic force F on the rod, in terms of the length L, current I, and magnetic field B. Calculate the numerical value of F, in newtons. Which direction does the rod move? 100

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 71P: Assume the region to the right of a certain plane contains a uniform magnetic field of magnitude...
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A rod of m =
1.5 kg rests on two parallel rails that are L = 0.85 m apart. The rod
carries a current going between the rails (bottom to top in the figure, into the page) with a magnitude I = 2.7
A. A uniform magnetic field of magnitude B = 0.85 T pointing upward is applied to the region, as shown in
the figure. The rod moves a distance d = 0.15 m along the rails in a given time period. Ignore the friction on
the rails.
L
17
I
Express the magnitude of the magnetic force F on the rod, in terms of the length L, current I, and magnetic field B.
Calculate the numerical value of F, in newtons.
Which direction does the rod move?
Determine the work done on the rod during its motion, in terms of the magnetic force F and the distance traveled d.
Calculate the work done on the rod, in joules.
Express the final speed of the rod, v, in terms of F, d, and m, if it started from rest.
Calculate the numerical value of v, in meters per second.
100
B
H
Transcribed Image Text:A rod of m = 1.5 kg rests on two parallel rails that are L = 0.85 m apart. The rod carries a current going between the rails (bottom to top in the figure, into the page) with a magnitude I = 2.7 A. A uniform magnetic field of magnitude B = 0.85 T pointing upward is applied to the region, as shown in the figure. The rod moves a distance d = 0.15 m along the rails in a given time period. Ignore the friction on the rails. L 17 I Express the magnitude of the magnetic force F on the rod, in terms of the length L, current I, and magnetic field B. Calculate the numerical value of F, in newtons. Which direction does the rod move? Determine the work done on the rod during its motion, in terms of the magnetic force F and the distance traveled d. Calculate the work done on the rod, in joules. Express the final speed of the rod, v, in terms of F, d, and m, if it started from rest. Calculate the numerical value of v, in meters per second. 100 B H
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