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 of the shell? b. Is the electric field inside a cavity (with not charge) zero, even if the shell is not spherical, but has any irregular shape? Explain.

A spherical conducting shell of inner radius r_(1) and outer radius r_

1.	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 of the shell? b. Is the electric field inside a cavity (with not charge) zero, even if the shell is not spherical, but has any irregular shape? Explain.
Answer» Solution : a. `(-Q)/(4PI r_(1)^(2)), (Q+q)/(4pi r_(2)^(2))` b. Yes. By GAUSS law

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