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A thick spherical conducting shell with an inner radius of 0.200 m and an outer

ID: 1422110 • Letter: A

Question

A thick spherical conducting shell with an inner radius of 0.200 m and an outer radius of 0.250 m has a very small charged sphere suspended in its center. The sphere has a charge of 17.9 mC, and the conducting shell has a net charge of 17.9 mC. What is the net amount of charge that resides on the following?

(a) the inner surface of the shell
________  mC

(b) the outer surface of the shell
______  mC


What is the charge density on the following?

(c) the inner surface of the shell

__________C/m2


(d) the outer surface of the shell

  __________C/m2

Explanation / Answer

the chargen on the inner surface of the shell:

Q = 17.9 mC

The charge on  the outer surface of the shell :

Q = 17.9 mC -17.9 mC = 0

the charge density on the inner surface of the shell:

Q/A = 17.9X10-3/4*pi*0.2^2 = 0.0356 C/m^2

the charge density on the outer surface of the shell:

Q/A = 0/A = 0

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