Question

Asked Sep 22, 2019

A metal sphere with radius r_{a} is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius r_{b}. 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 (r_{a}<r<r_{b}).

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>r_{b}.

Express your answer in terms of the given quantities and appropriate constants.

Step 1

A metal sphere with radius r_{a} is supported on an insulating stand at the center of a hollow metal spherical shell with radius r_{b}. 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,

Step 2

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

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