Question

Find the electric field inside and outside of hallow conducting sphere charge Q

Answer 1

Electric field inside a conductor=0 because no charge exist inside a conductor. Charge reside only on surface of a charged conductor. Hence if we apply Gauss's theorem inside a conductor,

E.ds=q/

As q=0, electric field E=0

Outside the conductor imagine a guassian sphere of radius . Apply Gauss's theorem

E.ds=q/

Eds=Ex4 (ds=total area of Gaussian sphere)

q=Q=total charge is enclosed by gaussian sphere

E.ds=q/

Ex4 =Q/

E=Q/4=electric field outside the sphere at a distance r from centre of shell