Consider a spherically symmetrical distribution of charged particles. The magnitude of charge for the distribution is \(q\), and the radius of the distribution is \(R\). The electrostatic potential varies with radial distance \(r\) away from the center of the distribution. For \(r>2 R, V(r)=-q /\left(4 \pi \epsilon_{0} r\right)\);

for \(R

(a) What is the electric field in these three regions? Use \(V(\infty)=0\) in your calculations.

(b) Describe a set of objects that could produce an electrostatic potential that behaves in this way.