Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter29: Direct Current (dc) Circuits
Section29.1: Measuring Potential Differences Between Two Points
Problem 29.1CE: What are the SI units of ?
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Question
A solid
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=?
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