A long coaxial cable (See attatched figure) carries a uniform volume charge density ρ on the inner cylinder (radius a), and a uniform surface charge density on the outer cylindrical shell (radius b). This surface charge is negative and is of just the right magnitude that the cable as a whole is electrically neutral. Find the electric field in each of the three regions: (i) inside the inner cylinder (s < a), (ii) between the cylinders (a < s < b), (iii) outside the cable (s > b). Plot |E| as a function of s.
A long coaxial cable (See attatched figure) carries a uniform volume charge density ρ on the inner cylinder (radius a), and a uniform surface charge density on the outer cylindrical shell (radius b). This surface charge is negative and is of just the right magnitude that the cable as a whole is electrically neutral. Find the electric field in each of the three regions: (i) inside the inner cylinder (s < a), (ii) between the cylinders (a < s < b), (iii) outside the cable (s > b). Plot |E| as a function of s.
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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A long coaxial cable (See attatched figure) carries a uniform volume charge density ρ on the inner cylinder (radius a), and a uniform surface charge density on the outer cylindrical shell (radius b). This surface charge is negative and is of just the right magnitude that the cable as a whole is electrically neutral. Find the electric field in each of the three regions: (i) inside the inner cylinder (s < a), (ii) between the cylinders (a < s < b), (iii) outside the cable (s > b). Plot |E| as a function of s.
![The image depicts a cylindrical capacitor. It consists of two concentric cylindrical conductors. The inner cylinder is positively charged, indicated by the "+" symbol, while the outer cylinder is negatively charged, indicated by the "−" symbol.
Key elements of the diagram:
1. **Inner Radius (a)**: The radius of the inner cylindrical conductor is labeled as "a".
2. **Outer Radius (b)**: The radius of the outer cylindrical conductor is labeled as "b".
This setup creates an electric field in the space between the two conductors, which is fundamental to its function as a capacitor.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5142c08c-3b37-45fa-beed-241deb836fb1%2F620bea7e-dd18-4025-a5c2-19e061dc59aa%2F3nm8c9_processed.png&w=3840&q=75)
Transcribed Image Text:The image depicts a cylindrical capacitor. It consists of two concentric cylindrical conductors. The inner cylinder is positively charged, indicated by the "+" symbol, while the outer cylinder is negatively charged, indicated by the "−" symbol.
Key elements of the diagram:
1. **Inner Radius (a)**: The radius of the inner cylindrical conductor is labeled as "a".
2. **Outer Radius (b)**: The radius of the outer cylindrical conductor is labeled as "b".
This setup creates an electric field in the space between the two conductors, which is fundamental to its function as a capacitor.
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