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Question

A solid conducting sphere of radius $$a$$ has a net positive charge $$2Q$$. A conducting spherical shell of inner radius $$b$$ and outer radius $$c$$ is concentric with the solid sphere and has a net charge $$-Q$$. The surface charge density on the inner and outer surfaces of the spherical shell will be
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A
2Q4πb2,Q4πc2
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B
2Q4πb2,Q4πc2
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C
0,Q4πc2
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D
None of these
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Solution

The correct option is B $$-\cfrac { 2Q }{ 4\pi { b }^{ 2 } } ,\cfrac { Q }{ 4\pi { c }^{ 2 } } $$
Surface charge density $$(\sigma)=\cfrac{charge}{Surface\quad area}$$
$${ \sigma  }_{ inner }=\cfrac { -2Q }{ 4\pi { b }^{ 2 } } ;\quad { \sigma  }_{ outer }=\cfrac { Q }{ 4\pi { c }^{ 2 } } $$

Physics

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