Coaxial cable R A long coaxial cable carries a uniform (positive) surface charge density o = 5 µC/m². On the inner cylinder radius R1 = 0.8 mm, and uniform surface charge density on the outer cylindrical shell (radius R2 = 1.4 mm). The surface charge is negative and of just the right magnitude so that the cable as a whole is neutral. a) Find the surface charge density oz of the cylindrical shell of radius R2. b) Find an expression of electric field at r mm from the center where R1 < r < Rq. Assume the cylinder has a length L and L is very long so that electric field is uniform. Consider that the insulating material between the cylinders is air. (Hint : use Gauss's law and cylindrical Gaussian surface with radius r.) Magnitude of the electric field at r = 0.88 mm c) Calculate absolute value of the potential difference between the wire and the cylinder.

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)...
icon
Related questions
Question
100%
Coaxial cable
A long coaxial cable carries a uniform (positive) surface charge density o1 = 5 µC/m?. On the inner cylinder radius R1 = 0.8 mm, and uniform
surface charge density on the outer cylindrical shell (radius R2 = 1.4 mm). The surface charge is negative and of just the right magnitude so that the
cable as a whole is neutral.
a) Find the surface charge density oz of the cylindrical shell of radius R2.
b) Find an expression of electric field at r mm from the center where R1 <r < R2. Assume the cylinder has a length L and L is very long so that
electric field is uniform. Consider that the insulating material between the cylinders is air. (Hint : use Gauss's law and cylindrical Gaussian surface with
radius r.)
Magnitude of the electric field at r = 0.88 mm
c) Calculate absolute value of the potential difference between the wire and the cylinder.
Transcribed Image Text:Coaxial cable A long coaxial cable carries a uniform (positive) surface charge density o1 = 5 µC/m?. On the inner cylinder radius R1 = 0.8 mm, and uniform surface charge density on the outer cylindrical shell (radius R2 = 1.4 mm). The surface charge is negative and of just the right magnitude so that the cable as a whole is neutral. a) Find the surface charge density oz of the cylindrical shell of radius R2. b) Find an expression of electric field at r mm from the center where R1 <r < R2. Assume the cylinder has a length L and L is very long so that electric field is uniform. Consider that the insulating material between the cylinders is air. (Hint : use Gauss's law and cylindrical Gaussian surface with radius r.) Magnitude of the electric field at r = 0.88 mm c) Calculate absolute value of the potential difference between the wire and the cylinder.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Electric field
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON