A small metal sphere carrying charge +Q is located at the centre of a spherical cavity inside a large uncharged metallic spherical shell as shown in the figure. Use Gauss’s law to find the expressions for the electric field at points `p_(1)` and `p_(2)` . Also draw the pattern of electric field lines in this arrangement.

Explanation

Using gauss theorem `E times 4pi r_1^2=Q/e_0, E=1/(4 pi e_0) Q/r_1^2`
Field at `P_2=0`, because the electric field inside the conductor is zero. The electric field lines due to the arrangement is as shown below