
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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HW 22
Another application of the principle of superposition is to reshape a charge by adding opposite
charges to cancel out pre-existing charges. A square charge is made from a circular charge and a
cornered-ring charge.
Therefore,
+
The square plane charge has 1 m wide sides and the circular plane charge has a 0.5 m radius.
Both have a constant charge density of 100 μC/m². The resulting subtraction produces a
cornered-ring with the same charge density.
The electric field from the square plane at the central axis is this.
Ako tan
(+4)*
+2()²)
The electric field from the circular plane at the central axis is this.
2nko
a. What is the electric field due to this composite loop as a function of z?
b. Graph the electric field and rank the three charged objects based on the magnitudes of their
electric fields.
c. What is the total charge on each of the three charged objects?
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