To get full credit you must show an appropriate differential of charge dq and explain any symmetry arguments you might have use to arrive to this result. What is the field in the limit a and b going to infinity? Compare your answer with the result of the What If? in Examp
To get full credit you must show an appropriate differential of charge dq and explain any symmetry arguments you might have use to arrive to this result. What is the field in the limit a and b going to infinity? Compare your answer with the result of the What If? in Examp
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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![1. A thin sheet of sides 2a and 2b lying in the xy plane and centered
at the origin has a uniform charge density o (see figure).
a. Using the result of Example 1 in the Chapter 23 slides, show
that the electric field on the z-axis is given by
of
ab
E = 4k,o arctan |
zva² + b² + z².
To get full credit you must show an appropriate differential
of charge dq and explain any symmetry arguments you
might have use to arrive to this result.
b. What is the field in the limit a and b going to infinity?
Compare your answer with the result of the What If? in Example 3 in the Chapter 23 slides.
c. Using the results of part (a), find an integral expression for the electric field at an arbitrary
point on the x-axis created by a cube of side 2a centered at the origin with uniform volume
charge density p. You do not need to solve this integral.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfa965ce-96ce-41c8-84ac-4edd317a194a%2Fe4b9db6e-cac2-4e64-a90b-57e54bfc86fd%2Fpdk78zi_processed.png&w=3840&q=75)
Transcribed Image Text:1. A thin sheet of sides 2a and 2b lying in the xy plane and centered
at the origin has a uniform charge density o (see figure).
a. Using the result of Example 1 in the Chapter 23 slides, show
that the electric field on the z-axis is given by
of
ab
E = 4k,o arctan |
zva² + b² + z².
To get full credit you must show an appropriate differential
of charge dq and explain any symmetry arguments you
might have use to arrive to this result.
b. What is the field in the limit a and b going to infinity?
Compare your answer with the result of the What If? in Example 3 in the Chapter 23 slides.
c. Using the results of part (a), find an integral expression for the electric field at an arbitrary
point on the x-axis created by a cube of side 2a centered at the origin with uniform volume
charge density p. You do not need to solve this integral.
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