A sphere of radius a has its center at the origin and a charge density given by p=Ar^2 where A=constant. Another sphere of radius 2a is concentric with the first. Find the flux through the larger sphere.
The Attempt at a Solution
According to my textbook, flux is independent of the radius. It depends on the charge enclosed by the sphere. So regardless, the flux is the same for both. We know flux is determined by the field magnitude and area. The area is 4piR^2 and the field magnitude is given by (1/4pi(eo))(q/R^2)
Multiplying the two gives us that flux is the charge divided by eo.
The flux should then be Ar^2/eo r being a Aa^2/eo
I feel like I'm missing an important concept.