Question

Asked Sep 21, 2019

Part B through F Please. I have no idea where to start.

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 is infinite.

Part B

Calculate the potential V(r) for r_{a}<r<r_{b}.

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

Part C

Calculate the potential V(r)for r>r_{b}.

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

Part D

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 E

Use the equation Er=−∂V/∂r and the result from part (b) to 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 F

Use the equation Er=−∂V/∂r and the result from part (c) to 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

Given information:

Charge on the inner sphere = +q

Radius of the inner sphere = r_{a}

Charge on the outer spherical shell = -q

Radius of the outer shell = r_{b}

Step 2

Electric potential at r where, r_{a }< r < r_{b}

The equation of electric potential in terms of electric field is given as:

Step 3

Part B:

The electric potential...

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