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I havent been able to get these answers right on this two part problem please he

ID: 1864601 • Letter: I

Question

I havent been able to get these answers right on this two part problem please help. (Show work if possible) Thank You!

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 54.0 mC, and the conducting shell has a net charge of -54.0 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 surtace of the shell C/m2 (d) the outer surface of the shell

Explanation / Answer

a) as all the charge accomulates on the inner surface so

Charge on inner surface of shell = -54 mC

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b) Charge on outer surface of shell = 0

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C).

Charge density on inner surface = q/A= 54*10^-3/(4*3.14* 0.2^2)= 0.107 C/m^2

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d. Charge density on outer surface = 0/A= 0 C/m^2

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a. Electric field inside the shell= 0N (ans)  

b. Electric field outside the shell, E= kq/r^2

E= 9*10^9* 42*10^-6/(0.44^2)

E= 1.952*10^6 N/C (ans)

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