Suppose you have q = 8 µC charge placed at the orign of your coordinate system. a) Using Gauss's law, find the electric field at distance ri = 5 m from the charge. b) Now you place a hollow conducting sphere of inner radius a = 2.5 m and outer radius b = 10.0 m. Calculate the net enclosed charge by the Gaussian surface of radius rı. c) Now consider another hollow conducting sphere of inner radius c = 15 m and outer radius d = 25 m. Calculate the net enclosed charge by the Gaussian surface of radius r2 = 12.5 m and electric field at r2.
Suppose you have q = 8 µC charge placed at the orign of your coordinate system. a) Using Gauss's law, find the electric field at distance ri = 5 m from the charge. b) Now you place a hollow conducting sphere of inner radius a = 2.5 m and outer radius b = 10.0 m. Calculate the net enclosed charge by the Gaussian surface of radius rı. c) Now consider another hollow conducting sphere of inner radius c = 15 m and outer radius d = 25 m. Calculate the net enclosed charge by the Gaussian surface of radius r2 = 12.5 m and electric field at r2.
Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter23: Continuous Charge Distributions And Gauss's Law
Section: Chapter Questions
Problem 5P: Example 23.3 derives the exact expression for the electric field at a point on the axis of a...
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![Suppose you have q = 8 µC charge placed at the orign of your coordinate system.
a) Using Gauss's law, find the electric field at distance r1 = 5 m from the charge.
b) Now you place a hollow conducting sphere of inner radius a = 2.5 m and outer radius b = 10.0 m. Calculate the net enclosed charge by the
Gaussian surface of radius rị.
c) Now consider another hollow conducting sphere of inner radius c = 15 m and outer radius d = 25 m. Calculate the net enclosed charge by the
Gaussian surface of radius r2 = 12.5 m and electric field at r2.
d) Calculate the net flux through the Gaussian sphere of radius r2.
e) Calculate the potential at the following distances from the point charge q and explain your result. Assume that at infinity the potential is zero, i.e.
V (0) = 0.
Potential at r = c
Give your answer up to at least three significance digits.
c+d
Potential at r =
Give your answer up to at least three significance digits.
f) Plot electric field as a function of distance from origin for this system.
g) (bonus) Plot electric potential as a function of distance from origin for this system.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b23c5e1-f50f-4225-993a-a0dfdf1693b5%2F35dbc1f7-73dd-4573-bd90-ba1e21853c96%2F3hy4bo_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose you have q = 8 µC charge placed at the orign of your coordinate system.
a) Using Gauss's law, find the electric field at distance r1 = 5 m from the charge.
b) Now you place a hollow conducting sphere of inner radius a = 2.5 m and outer radius b = 10.0 m. Calculate the net enclosed charge by the
Gaussian surface of radius rị.
c) Now consider another hollow conducting sphere of inner radius c = 15 m and outer radius d = 25 m. Calculate the net enclosed charge by the
Gaussian surface of radius r2 = 12.5 m and electric field at r2.
d) Calculate the net flux through the Gaussian sphere of radius r2.
e) Calculate the potential at the following distances from the point charge q and explain your result. Assume that at infinity the potential is zero, i.e.
V (0) = 0.
Potential at r = c
Give your answer up to at least three significance digits.
c+d
Potential at r =
Give your answer up to at least three significance digits.
f) Plot electric field as a function of distance from origin for this system.
g) (bonus) Plot electric potential as a function of distance from origin for this system.
![b,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b23c5e1-f50f-4225-993a-a0dfdf1693b5%2F35dbc1f7-73dd-4573-bd90-ba1e21853c96%2Fxz4b9fd_processed.png&w=3840&q=75)
Transcribed Image Text:b,
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