Answered: Q? -p² dr 327?€0 r4 DU= 4n A U = 4n fR…

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

A solid conducting sphere of radius R carries a charge Q.

To find U, total electric-field energy, consider a spherical shell of radius r and thickness dr that has volume dV=4πr2dr. (It will help to make a drawing of such a shell concentric with the conducting sphere). The energy stored in this volume is udV, and the total energy is the integral of udV from r=0 to r→∞.

Find the potential energy U for the sphere using the integral set provided. Previously you found the integral set up for U.

Express your answers in terms of some, all, or none of the variables Q, R, the electric constant ϵ0 , and π, separated by a comma.

U=?

Q?
-p² dr
327?€0 r4
DU= 4n
A U = 4n fR
Q?
edr
32т?€0
Q?
DU= 4n f
? dr
327?€0 p4
D U= 4n o
1 Q?
² dr
32тео

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