College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Question 13
![### Physics Problem Set on Electric Fields and Charges
#### Questions
11. **Find the linear charge density \( \lambda \).**
\[
\text{nC} = \text{nanoCoulomb}
\]
- a. \( 1.2 \, \text{nC/m} \)
- b. \( 2.4 \, \text{nC/m} \)
- c. \( 3.6 \, \text{nC/m} \)
- d. \( 4.8 \, \text{nC/m} \)
- e. none of these
12. **Find the electric field at \( r = 3 \) meters.**
- a. \( 3.55 \, \text{V/m} \)
- b. \( 7.2 \, \text{V/m} \)
- c. \( 9.5 \, \text{V/m} \)
- d. \( 14.4 \, \text{V/m} \)
- e. none of these
13. **A charge \( +Q \) is sitting at the origin (0,0,0). A closed sphere with a radius \( R \) surrounds the charge. What is the amount of electric flux passing through the section of the sphere where \( x > 0, y > 0 \) and \( z > 0 \)?**
- a. \( \Phi = Q/2\varepsilon_0 \)
- b. \( \Phi = Q/4\varepsilon_0 \)
- c. \( \Phi = Q/6\varepsilon_0 \)
- d. \( \Phi = Q/8\varepsilon_0 \)
#### Diagram
- The diagram shows a sphere centered at the origin, represented in a three-dimensional coordinate system with labeled axes \( x \), \( y \), and \( z \). The sphere is segmented into a quadrant that resides in the positive \( x \), \( y \), and \( z \) section of the coordinate system.
#### Further Problem
A solid non-conducting sphere of radius \( R \) is uniformly charged with volume charge density of \( \rho \).
14. **Find the electric field inside the sphere (\( r < R \)).](https://content.bartleby.com/qna-images/question/366fde98-e986-4900-b8c3-3945c69e5ca7/b2c3354c-4fc6-41d0-ac95-a1d2bb224c77/f814h5q_processed.jpeg)
Transcribed Image Text:### Physics Problem Set on Electric Fields and Charges
#### Questions
11. **Find the linear charge density \( \lambda \).**
\[
\text{nC} = \text{nanoCoulomb}
\]
- a. \( 1.2 \, \text{nC/m} \)
- b. \( 2.4 \, \text{nC/m} \)
- c. \( 3.6 \, \text{nC/m} \)
- d. \( 4.8 \, \text{nC/m} \)
- e. none of these
12. **Find the electric field at \( r = 3 \) meters.**
- a. \( 3.55 \, \text{V/m} \)
- b. \( 7.2 \, \text{V/m} \)
- c. \( 9.5 \, \text{V/m} \)
- d. \( 14.4 \, \text{V/m} \)
- e. none of these
13. **A charge \( +Q \) is sitting at the origin (0,0,0). A closed sphere with a radius \( R \) surrounds the charge. What is the amount of electric flux passing through the section of the sphere where \( x > 0, y > 0 \) and \( z > 0 \)?**
- a. \( \Phi = Q/2\varepsilon_0 \)
- b. \( \Phi = Q/4\varepsilon_0 \)
- c. \( \Phi = Q/6\varepsilon_0 \)
- d. \( \Phi = Q/8\varepsilon_0 \)
#### Diagram
- The diagram shows a sphere centered at the origin, represented in a three-dimensional coordinate system with labeled axes \( x \), \( y \), and \( z \). The sphere is segmented into a quadrant that resides in the positive \( x \), \( y \), and \( z \) section of the coordinate system.
#### Further Problem
A solid non-conducting sphere of radius \( R \) is uniformly charged with volume charge density of \( \rho \).
14. **Find the electric field inside the sphere (\( r < R \)).
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