Calculating Electric Flux Through a Non-Uniform Hemispherical Surface

[Abhishekdas]

Homework Statement

A point charge is placed at the origin. Calculate the electric flux through the open hemispherical surface :(x-a)² +y² + z² = a²
x> or = a.

Homework Equations

The Attempt at a Solution

There is no diagram but this is how i visualised the question(please refer to attachment)...
Now i was thinking of proceeing via solid angle method but it won't work here i guess because each point on the spere is not equidistant from the charge so the field isn't uniform...So how to go about it?

 

[tiny-tim]

Hi Abhishekdas!

Just find the flux through the "equator".

 

[Abhishekdas]

Hi tiny-tim...

I think you mean to say flux through the area bounded by the equator...
But how do i find that...