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A conducting spherical shell with inner radius a and outer radius b has a positi

ID: 2284967 • Letter: A

Question

A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is ?3Q, and it is insulated from its surroundings (Figure 1)

Derive the expression for the electric field magnitude in terms of the distance r from the center for the region r<a.

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

E1 =

Derive the expression for the electric field magnitude in terms of the distance r from the center for the region a<r<b.

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

E2 =

Derive the expression for the electric field magnitude in terms of the distance r from the center for the region r>b.

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

E3 =

What is the surface charge density on the inner surface of the conducting shell?

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

?i =

What is the surface charge density on the outer surface of the conducting shell?

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

?o =

Explanation / Answer

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

E1 =43

Derive the expression for the electric field magnitude in terms of the distance r from the center for the region a<r<b.

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

E2 =67

Derive the expression for the electric field magnitude in terms of the distance r from the center for the region r>b.

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

E3 =65

What is the surface charge density on the inner surface of the conducting shell?

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

?i =32

What is the surface charge density on the outer surface of the conducting shell?

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

?o =43

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