Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 19.2, Problem 3aTH
The loop is held to the right of a positive point charge as shown.
i. Draw and label an area vector for the surface bounded by loop.
ii. Sketch electric field lines to represent the electric field due to the charge.
iii. Is the electric flux through the loop due to the charge positive, negative, or zero? Explain your reasoning.
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Draw electric field lines and a Gaussian surface of the given charges on the space provided. Then state whether the flux is positive, negative or zero. Keep in mind that you will be drawing a two-dimensional picture, which is actually three-dimensional in nature.
1. A charge +q when the surface is a sphere centered on the charge
2. A charge –q when the surface is a sphere centered on the charge
3. A charge +q when an irregular surface surrounds the charge
4. A charge –2q when a surface is a sphere centered on the charge
5. A charge -q when an irregular surface surrounds the charge
6. An electric dipole made with charges +q and –q and a surface that encloses the +q but not the –q charge.
7. Based on the electric field lines and Gaussian surfaces that you have drawn for the examples above, what can you conclude about the relationship among the electric flux, electric field lines, and the charge enclosed by the surface?
A thick, conducting, spherical shell of inner radius a and outer radius b carries an excess charge of −2Q. At the center of the spherical shell, a point charge −Q is placed.
A. How is the charge −2Q distributed on the think spherical shell? (Just give an answer.)
i. How much charge is on the surface of radius a
ii. How much charge is on the surface of radius b
B. What is the direction of the electric field (radially inward, radially outward or zero) in each of the following regions. (Just give an answer in the table provided.)
r < a
a <r
r> b
A collection of four charges and four Gaussian surfaces are shown in the figure. The charges have values: q1=+7.46nC q2=−7.46nC q3=+11.2nC q4=−15.8nCThe dashed lines represent the intersection of the closed three-dimensional surfaces with the plane of the image. If a charge is shown within a dashed curve, then it is contained with the corresponding surface.
A. What is the electric flux, in newton squared meters per coulomb, through the first closed surface, S1?
B. What is the electric flux, in newton squared meters per coulomb, through the second closed surface, S2?
C. What is the electric flux, in newton squared meters per coulomb, through the third closed surface, S3?
D. What is the electric flux, in newton squared meters per coulomb, through the third closed surface, S4?
Chapter 19 Solutions
Tutorials in Introductory Physics
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