8@ 13. A charge +Q is sitting at the origin (0,00mA closed sphere with a radius R surrounds the charge. What is the amount of electric flux passing through the section of the sphere whege x >0, y>0 and z>0? a. O = Q/2ɛ0 b. O = Q/480 c. O = Q/6ɛ0 d. 0 = Q/8ɛ0 m Q/6ɛ0 d. D = Q/8€0 %3D

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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 (\( r < R \)).
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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