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

A
2Q4πb2,Q4πc2
B
2Q4πb2,Q4πc2
C
0,Q4πc2
D
None of these

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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