A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q ocated at its center. The total charge on the shell is 3Q, and it is insulated from its surroundings. (a) Derive expressions for the electric field magnitude E in terms of the distance r from the center for the regions r< a, a b. (b) What is the surface charge density on the inner surface of the conducting shell and on the outer surface of the conducting shell? |-3Q

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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.
(a) Derive expressions for the electric field
magnitude E in terms of the distance r
from the center for the regions r< a, a < r
<b, and r> b.
(b) What is the surface charge density on the
inner surface of the conducting shell and
on the outer surface of the conducting shell?
|-3Q
Transcribed Image Text: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. (a) Derive expressions for the electric field magnitude E in terms of the distance r from the center for the regions r< a, a < r <b, and r> b. (b) What is the surface charge density on the inner surface of the conducting shell and on the outer surface of the conducting shell? |-3Q
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