Does Electric Flux Change with a Doubled Circle Diameter?

[1220Student]

Homework Statement

Hi all,

I'm having some difficulty with electric flux.

Does electric flux stay the same if you double the diameter of a circle assuming the electric field is uniform?

Any help would be much appreciated.

Thanks

Homework Equations

Electric flux= E.A

where A is area.

The Attempt at a Solution

If diameter if doubled then I believe that the electric flux will also double (area is doubled, and flux is proportianal)

Or does it stay the same?

 

[Dick]

Doubling the diameter changes the area by a factor of four. If you double the area (not the diameter) and keep the E field the same, the flux will double. But is that really the question you want to ask? If the charge remains the same the flux won't change. Because the E field will go down by a factor of 1/2.