Electrostatic problem with vectors

[Niles]

Homework Statement

Hi all.

A uniformly charged sphere centeren at (0,0,0) has a spherical hole inside and the hole has it's center at (d,0,0). Find the electric field inside the hole.

The Attempt at a Solution

I use superposition. The electric field from the sphere itself is trivial.

Now to find the electric field from the hole. This is also trivial, but the direction of E_x is not just x, but x-d. Am I correct about that?

 

[Dick]

Yes.