Electrostatics problem

Mar 2016
37
0
Manchester
from the attachment, I have shown the following proof.

However, there's another part to this question which I'm having a little trouble with.

The question is as follows: Hence, show that ∇xE and ∇·E are both equal to zero at position P(x,y,z), unless x = y = z = 0. What happens at the origin?

I have tried working out ∇xE and ∇·E but I might be doing it the wrong way.
 

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