A solid spherical conducting shell has inner radius a and outer radius 2a . At center of s

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1. Electric Charges and Fields

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A solid spherical conducting shell has inner radius a and outer radius $2a$. At the center of the shell a point charge $+Q$ is located . What must the charge of the shell be in order for the charge density on the inner and outer surfaces of the shell to be exactly equal?

A

$-5Q$

B

$+3Q$

C

$-4Q$

D

$+4Q$

Solution

$\frac{-Q}{4 \pi a^{2}}=\frac{q}{4 \pi(2 a)^{2}}$

$\mathrm{q}^{\prime}+\mathrm{Q}=\mathrm{q}=-4 \mathrm{\,Q}$

$q^{\prime}=-5 \,Q$

Standard 12

Physics

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