Question

An insulating solid sphere of radius a has a uniform volume charge density ρ and carries a total positive charge Q. A spherical gaussian surface of radius r, which shares a common center with the insulating sphere, is inflated starting from r = 0.

(a)Find an expression for the electric flux ΦE passing through the surface of the gaussian sphere as a function of r for r < a.
(b) Find an expression for the electric flux ΦE for r > a

Answer 1

alright so I know that \[\Phi_E=\frac{q}{\epsilon_0}\]

Answer 2

and \[\Phi_E=\oint\vec{E}\cdot d\vec{A} \]

Answer 3

so \(q\) is just \(Q\) ?