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A small metallic sphere carrying charge ...

A small metallic sphere carrying charge `+Q` is located at the centre of a spherical cavity in a large uncharged metallic spherical shell . Write the charges on the inner and outer surfaces of the shell . Write the expression for the electric field at the point `P_(1)`.

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Charge on inner surface :- Q
Charge on outer surface : +Q
Electric field at point `P_(1)`
`E=(1)/(4piepsilon_(0))(Q)/(r_(1)^(2))`
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A spherical conducting shell of inner radius r_(1) and outer radius r_(2) has a charge Q. (a) A charge q is placed at the centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell? (b) Is the electric field inside a cavity (with no charge) zero, even if the shell is not spherical, but has any irregular shape? Explain.

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