Question

Identify the direction of the electric field $r>c$. If it is radially outward fill $0$ as your answer. If its radially inward fill $1$ as your answer.

Answer 1

The total charge inside it is $Q_{in}=3Q-3Q+2Q=2Q$

By Gauss's law, the field at distance $r>c$ from center is

$E.4\pi r^3=\frac{Q_{in}}{{ϵ}_0}=\frac{2Q}{{ϵ}_0}$

or $E=\frac{2Q}{4\pi {ϵ}_0{r}^2}$

Thus, the field is uniform through out the Gaussian surface. Its direction radially outward from the surface as shown in figure.