A metal sphere with radius ra is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius rb. There is charge +q on the inner sphere and charge −q on the outer spherical shell. Take V to be zero when r is infinite.Part G Suppose the charge on the outer sphere is not −q but a negative charge of different magnitude, say −Q. Find the potential of the inner sphere with respect to the outer.Express your answer in terms of the given quantities and appropriate constants.Part H Suppose the charge on the outer sphere is not −q but a negative charge of different magnitude, say −Q. Find the electric field at any point between the spheres (ra<r<rb).Express your answer in terms of the given quantities and appropriate constants.Part I Suppose the charge on the outer sphere is not −q but a negative charge of different magnitude, say −Q. Find the electric field at a point outside the larger sphere at a distance r from the center, where r>rb.Express your answer in terms of the given quantities and appropriate constants.

Question
Asked Sep 22, 2019

A metal sphere with radius ra is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius rb. There is charge
+q on the inner sphere and charge −q on the outer spherical shell. Take
V to be zero when r is infinite.

Part G
Suppose the charge on the outer sphere is not −q but a negative charge of different magnitude, say −Q. Find the potential of the inner sphere with respect to the outer.
Express your answer in terms of the given quantities and appropriate constants.

Part H
Suppose the charge on the outer sphere is not −q but a negative charge of different magnitude, say −Q. Find the electric field at any point between the spheres (ra<r<rb).
Express your answer in terms of the given quantities and appropriate constants.


Part I
Suppose the charge on the outer sphere is not −q but a negative charge of different magnitude, say −Q. Find the electric field at a point outside the larger sphere at a distance r from the center, where r>rb.
Express your answer in terms of the given quantities and appropriate constants.

 

 

 

 

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Expert Answer

Step 1

A metal sphere with radius ra is supported on an insulating stand at the center of a hollow metal spherical shell with radius rb. There is charge +q on the inner sphere and charge −q on the outer spherical shell.

Part G. If the charge on the outer sphere is a negative charge of different magnitude, say −Q. Then the potential of the inner sphere with respect to the outer is,

1
= kq|
1
Vob
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1 = kq| 1 Vob

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Step 2

Part H. If the charge on the outer sphere is a negative charge of different magnitude, say −Q. the...

kq
Е-
2
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kq Е- 2

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Electric Charges and Fields

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