4. In Lecture 9 we saw that the energy density of an electric field is u = EE²/2. This "electric-fieldenergy" is not a new kind of energy; it is simply a different way of interpreting electric potentialenergy. In particular, we can compute the total potential energy of a charge distribution from theenergy density. Previously we had calculated the total potential energy for a collection of pointcharges (see slide 13 in Lecture 6), but now we can calculate it for continuous charge distributions.The total potential energy of a charge distribution is the volume integral of the energy density overall regions of space:U =s2 €0E² dvallspace(a) Positive charge Q is distributed uniformly over the surface of a thin spherical shell of radius R.Find the electric field in all regions of space.i.ii.Calculate the total potential energy of this charge distribution using the integral above.(b) Positive charge Q is distributed uniformly throughout the volume of a solid sphere of radius R.Find the electric field in all regions of space.i.ii.Calculate the total potential energy of this charge distribution using the integral above.(Note: "all regions of space" really does mean all regions. In both cases, you need to integrate overthe volumes inside and outside the sphere.)

Answered: Image /qna-images/answer/cffb8b0b-ab64-41ab-9ceb-59fd82d34131.jpg

J2 all space (a) Positive charge Q is distributed uniformly over the surface of a thin spherical shell of radius i. ii. Find the electric field in all regions of space. Calculate the total potential energy of this charge distribution using the integral ab (b) Positive charge Q is distributed uniformly throughout the volume of a solid sphere of radiu: Find the electric field in all regions of space. i. ii. Calculate the total potential energy of this charge distribution using the integral ab (Note: "all regions of space" really does mean all regions. In both cases, you need to integrate the volumes inside and outside the sphere.)

J2 all space (a) Positive charge Q is distributed uniformly over the surface of a thin spherical shell of radius i. ii. Find the electric field in all regions of space. Calculate the total potential energy of this charge distribution using the integral ab (b) Positive charge Q is distributed uniformly throughout the volume of a solid sphere of radiu: Find the electric field in all regions of space. i. ii. Calculate the total potential energy of this charge distribution using the integral ab (Note: "all regions of space" really does mean all regions. In both cases, you need to integrate the volumes inside and outside the sphere.)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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