The magnitude of the electric field a distance \(R\) away from a particle carrying charge \(q\) is \(E_{0}\). Now consider this same quantity of charge \(q\) distributed uniformly throughout the volume of a nonconducting solid sphere of radius \(R\). What is the electric field magnitude, in terms of \(E_{0},(a)\) a distance \(2 R\) from the center of the sphere, \((b)\) at the sphere surface, and \((c)\) a distance \(R / 4\) from the sphere center?