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A metallic spherical shell has an inner radius R1 and outer radius R2. A charge Q is placed at the centre of the spherical cavity. What will be surface charge density on (i) the inner surface, and (ii) the outer surface?
 

Answers (1)

 

Q is kept at the center of the spherical cavity. –Q charge is induced at the inner surface and +Q on the outer surface.
The surface density is denoted by σ.

a) The surface charge density on the inner surface is σ1= charge/ Area =

\frac{-Q}{4\pi R_{2}^{1}}
b) The surface charge density on the other surface is σ2=

\frac{+Q}{4\pi R_{2}^{2}}

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