PHHY 213 University Physiesl October 19-21, 2017 Prof. L. P. Johnson Part II. So

Question

PHHY 213 University Physiesl October 19-21, 2017 Prof. L. P. Johnson Part II. Solve two(2)of the three-(3)-Problems- If you decide to solve a third problem for extra credit, YOU MUST LABEL THE EXTRA CREDIT PROBLEM II.1. Figure 27 33 shows a charge (+q) on a uniform conducting hollow sphere of radius a and placed at the center of a conducting spherical shell of inner radius b and outer radius c. The outer spherical shell carries a charge (-q). a) What is the charge on the outer surface (c) of the shell. Use Gauss' law to find E(r) at positions: b) within the conducting spherical (r

Explanation / Answer

a)

Inner sphere has charge = +q

Due to induction charge on inner surface of the shell = - q

Charge on outer surface on the shell = -q

Charge on Inner surface is balanced by charge on the sphere, hence charge on the outer surface = - q

b)

Use Gauss’s law,

E.da = qiclosed /0

E = qiclosed /40r2

E = 0/40r2

E = 0

c)

Use Gauss’s law,

E.da = qiclosed /0

E = qiclosed /40r2

E = +q/40r2

d)

Use Gauss’s law,

E.da = qiclosed /0

E = qiclosed /40r2

E = (+q + -q)/40r2

E = 0

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