Simple electrical field problem

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cyberstudent
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A metal sphere of radius R with a charge q is surrounded by a concentric metal sphere as shown in Figure P.23. The outer surface of the the sperical shell has a charge of + 30.0*10^-6C and the inner surface of the shell has a charge of +25.0*10^-6C.
(a) Find q
(b) Sketch qualitative graphs of (i) the radial electric field component Er and (ii) the electric potential V as functions of r.

I hired an online tutor who told me that q = -(25+30) micro coulombs
= -55 micro coulombs.

I disagree.

Shouldn't q=-25 micro coulombs? There is no electric field inside the shell, since it is a conductor. The charge residing on the outer surface of the shell therefore should not have any effect on the sphere inside the concentric shell.

Should I fire my tutor or can I have confidence in his answers?

P.S. Diagram attached
 
Attachments
  • Diagram of a small inner metal sphere of radius R with charge q, inside a larger concentric spherical shell, labelled 30.0 μC on the outer surface and 25.0 μC on the inner surface.
    23.gif
    61.7 KB · Views: 650
cyberstudent said:
A metal sphere of radius R with a charge q is surrounded by a concentric metal sphere as shown in Figure P.23. The outer surface of the the sperical shell has a charge of + 30.0*10^-6C and the inner surface of the shell has a charge of +25.0*10^-6C.
(a) Find q
(b) Sketch qualitative graphs of (i) the radial electric field component Er and (ii) the electric potential V as functions of r.

I hired an online tutor who told me that q = -(25+30) micro coulombs
= -55 micro coulombs.

I disagree.

Shouldn't q=-25 micro coulombs? There is no electric field inside the shell, since it is a conductor. The charge residing on the outer surface of the shell therefore should not have any effect on the sphere inside the concentric shell.

Should I fire my tutor or can I have confidence in his answers?

P.S. Diagram attached
I can't see your diagram yet, but it sounds like you are correct. The charge on the outermost surface has no effect. The net charge from the inner surface of the outer shell and everything inside is zero.
 
Thanks

I can't see your diagram yet, but it sounds like you are correct. The charge on the outermost surface has no effect. The net charge from the inner surface of the outer shell and everything inside is zero.

Great. Thanks for the confirmation. He is fired. :biggrin:
 
Attachments
  • Hand-drawn concentric circles: a small inner circle labelled -25 μC and a larger outer shell labelled 25 μC on its inner surface and 30.0 μC on its outer surface.
    mydiagram.JPG
    37.9 KB · Views: 556