Derive the expression for the electric field magnitude in terms of the distance

Question

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 some or all of the variables Q, a, b, and appropriate constants.

part f:

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

Express your answer in terms of some or all of the variables Q, a, b, and appropriate constants.

part G:

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

Express your answer in terms of some or all of the variables Q, a, b, and appropriate constants.

A conducting spherical shell with inner radius a and outer radius b has a positive point charge located at its center. The total charge on the shell is -3Q, and it is insulated from its surroundings (Figure 1) Figure 1of 1 Figure 1 B of 1 Ca 30

Explanation / Answer

C) at a<r<b

E = 0 (since in electrostatic equilibrium, inside a conducting material E is always zero)

f) here -Q charge is induced on ineer surface.

so, inner surface charge denisty = -Q/(4*pi*a^2)

g) the charge on outer surface =-3Q - (-Q)

= -2Q

so, outer surface charge denisty = -2Q/(4*pi*b^2)

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