the electric field in free space outside a conducting sphere of raduis a and centered at the origin resulting from an applied field is given by E=E0(1+2a^3/r^3)cosθir -E0(1-a^3/r^3)sinθiθ show that the tangentail component of E is zero on the conductor surface. and find the charge density on the conductor surface. find the applied and secondry field.