I need help with this question,

A conducting sphere of radius

**a** is surrounded by the electric potential

where A and C are constants and

spherical polar coordinates

1. confirm that F satisfies Laplace's equation. - i did this okay

2. If

and

as

(

being aligned with the line

= 0 ), determine the coefficient C

- here I got

3. If F=0 on the surface of the sphere, find A

- here I got

4.

**Calculate the electric field components ** ** and ** ** and evaluate them on the surface of the sphere. **- not sure how to do this I think I have to use Laplace's equation?

Thanks!