Continue from Problem 1, consider the situation where the radius of the shell expands by &R, and the energy stored in the system changes by dW accordingly. (a) Find the expression for &W. (b) The change in energy must be equal to the work done by the pressure f (force per unit area) exerted by the electric force when the shell expands: SW = -f (4TR²) &R. There is a negative sign as the energy stored in the system is being used by the electric force to do work. Use this relation to find f. Does the electric force try to squeeze the shell or stretch the shell?
Continue from Problem 1, consider the situation where the radius of the shell expands by &R, and the energy stored in the system changes by dW accordingly. (a) Find the expression for &W. (b) The change in energy must be equal to the work done by the pressure f (force per unit area) exerted by the electric force when the shell expands: SW = -f (4TR²) &R. There is a negative sign as the energy stored in the system is being used by the electric force to do work. Use this relation to find f. Does the electric force try to squeeze the shell or stretch the shell?
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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Question
Please answer problem 2
Transcribed Image Text:Problem 1
Consider a spherical thin shell of radius R with charges uniformly distributed on its surface. The uniform
surface charge density is denoted as o.
(a) Setting the potential V to be zero at infinity, find the electric potential created by the charged shell
by directly using
dq
1
V =
47
(1)
(b) Using V, find the electric field E created by the shell.
(c) Find the energy W stored in this system.
Problem 2
Continue from Problem 1, consider the situation where the radius of the shell expands by &R, and the energy
stored in the system changes by SW accordingly.
(a) Find the expression for &W.
(b) The change in energy must be equal to the work done by the pressure f (force per unit area) exerted
by the electric force when the shell expands:
SW = -
f (47 R²) SR.
There is a negative sign as the energy stored in the system is being used by the electric force to do
work. Use this relation to find f. Does the electric force try to squeeze the shell or stretch the shell?
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