(Eigure 1An infinitely long conducting cylindrical rod with a positive charge A per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of -2A and radius ri. as shown in the figure. What is onner, the surface charge density (charge per unit area) on the inner surface of the conducting shell? > View Available Hint(s) O'aner = Subnit Previous Answers Reguest Answer X Incorrect; Try Again; 28 attempts remaining Part C What is donter, the surface charge density on the outside of the conducting shell? (Recall from the problem statement that the conducting shell has a total charge per unit length given by -2A.) > View Available Hint(s) Touter = Submit Figure < 1 of 1 Part D What is the radial component of the electric field, E (r), outside the shell? > View Available Hint(s) E (r) = Submit Reguest Answer

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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### Problem Description

**Figure 1**: An infinitely long conducting cylindrical rod with a positive charge \( \lambda \) per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of \(-2\lambda\) and radius \( r_1 \), as shown in the figure.

#### Questions

**Part B**
- **Question**: What is \( \sigma_{\text{inner}} \), the surface charge density (charge per unit area) on the inner surface of the conducting shell?
- **Instructions**: 
  - View available hints if needed.
  - Enter your answer in the field provided and click Submit.
  - Note: Incorrect response. Try Again; 28 attempts remaining.

**Part C**
- **Question**: What is \( \sigma_{\text{outer}} \), the surface charge density on the outside of the conducting shell? Recall from the problem statement that the conducting shell has a total charge per unit length given by \(-2\lambda\).
- **Instructions**: 
  - View available hints if needed.
  - Enter your answer in the field provided and click Submit.

**Part D**
- **Question**: What is the radial component of the electric field, \( E(r) \), outside the shell?
- **Instructions**:
  - View available hints if needed.
  - Enter your answer in the field provided and click Submit.

### Figure Description

The figure consists of a cylindrical rod and a cylindrical shell:
- The cylindrical rod is labeled with a positive charge density \( \lambda \).
- The surrounding cylindrical shell is labeled with a negative charge density \(-2\lambda\).
- Both shapes are visually represented using cylindrical diagrams, with arrows indicating the direction and distribution of the charges.

Each part of the problem focuses on understanding the charge distribution and resulting electric field in an idealized cylindrical system.
Transcribed Image Text:### Problem Description **Figure 1**: An infinitely long conducting cylindrical rod with a positive charge \( \lambda \) per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of \(-2\lambda\) and radius \( r_1 \), as shown in the figure. #### Questions **Part B** - **Question**: What is \( \sigma_{\text{inner}} \), the surface charge density (charge per unit area) on the inner surface of the conducting shell? - **Instructions**: - View available hints if needed. - Enter your answer in the field provided and click Submit. - Note: Incorrect response. Try Again; 28 attempts remaining. **Part C** - **Question**: What is \( \sigma_{\text{outer}} \), the surface charge density on the outside of the conducting shell? Recall from the problem statement that the conducting shell has a total charge per unit length given by \(-2\lambda\). - **Instructions**: - View available hints if needed. - Enter your answer in the field provided and click Submit. **Part D** - **Question**: What is the radial component of the electric field, \( E(r) \), outside the shell? - **Instructions**: - View available hints if needed. - Enter your answer in the field provided and click Submit. ### Figure Description The figure consists of a cylindrical rod and a cylindrical shell: - The cylindrical rod is labeled with a positive charge density \( \lambda \). - The surrounding cylindrical shell is labeled with a negative charge density \(-2\lambda\). - Both shapes are visually represented using cylindrical diagrams, with arrows indicating the direction and distribution of the charges. Each part of the problem focuses on understanding the charge distribution and resulting electric field in an idealized cylindrical system.
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