A hollow, thin-walled insulating cylinder of radius R and length L (like the cardboard tube in a roll of toilet paper) has charge Q uniformly distributed over its surface. Part A Calculate the electric potential at any point x along the axis of the tube. Take the origin to be at the center of the tube, and take the potential to be zero at infinity. Express your answer in terms of the given quantities and appropriate constants. Part B Use the result of part A to find the electric field at any point x along the axis of the tube. Express your answer in terms of the given quantities and appropriate constants.

A hollow, thin-walled insulating cylinder of radius R and length L (like the cardboard tube in a roll of toilet paper) has charge Q uniformly distributed over its surface. Part A Calculate the electric potential at any point x along the axis of the tube. Take the origin to be at the center of the tube, and take the potential to be zero at infinity. Express your answer in terms of the given quantities and appropriate constants. Part B Use the result of part A to find the electric field at any point x along the axis of the tube. Express your answer in terms of the given quantities and appropriate constants.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 97AP: (a) Find x L limit of the potential of a finite uniformly charged rod and show that it coincides...

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