A sphere of radius R has a uniform volume density `rho`. A spherical cavity of radius b, whose center lies at `veca`, is removed from the sphere.
i. Find the electric field at any point inside the spherical cavity.
ii. Find the electric field outside the cavity
(a) at points inside the large sphere but outside the cavity and
(b) at points outside the large sphere.

Explanation

`(1)(rhovec(a))/(3epsilon_(0)),(2)a.(rho)/(3epsilon_(0))[vec(r)-((b)/(vec(r)-vec(a)))^(3)(vec(r)-vec(a))]b.(rho)/(3epsilon_(0))[((R)/(r))^(3)vec(r)-((b)/(vec(r)-vec(a)))^(3)(vec(r)-vec(a))]`