2- Suppose a point charge q is placed at the center of a neutral (initially uncharged) thick spherical conducting shell of inner and outer radii = a and b respectively as shown in the figure, a) How much induced charge will accumulate on the inner surface of the conducting shell? b) How much induced charge will accumulate on the outer surface of the conducting shell? c) Find expressions for the electric field E as function of r in the three regions r b. d) Prove that E satisfies the boundary conditions at the inner and outer surfaces of the thick spherical conducting shell. e) Find expressions for the electric potential V as function of r in the three regions r b.

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2- Suppose a point charge q is placed at the center of a neutral
(initially uncharged) thick spherical conducting shell of inner
and outer radii = a and b respectively as shown in the figure,
a) How much induced charge will accumulate on the inner
surface of the conducting shell?
b) How much induced charge will accumulate on the outer
surface of the conducting shell?
c) Find expressions for the electric field E as function of r in the
three regions r <a, a<r<b and r > b.
d) Prove that E satisfies the boundary conditions at the inner and
outer surfaces of the thick spherical conducting shell.
e) Find expressions for the electric potential V as function of r in the three regions r<a, a<r
<b and r> b.
Transcribed Image Text:2- Suppose a point charge q is placed at the center of a neutral (initially uncharged) thick spherical conducting shell of inner and outer radii = a and b respectively as shown in the figure, a) How much induced charge will accumulate on the inner surface of the conducting shell? b) How much induced charge will accumulate on the outer surface of the conducting shell? c) Find expressions for the electric field E as function of r in the three regions r <a, a<r<b and r > b. d) Prove that E satisfies the boundary conditions at the inner and outer surfaces of the thick spherical conducting shell. e) Find expressions for the electric potential V as function of r in the three regions r<a, a<r <b and r> b.
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