1. Electrostatic Properties (20 pts): For this problem, you shall prove some fundamental properties of electrostatic fields. Consider a charge distribution p(r') contained in a volume V': (a) Find an

expression for the electric field E(r) at any point r that is outside the volume V'. *Hint: This is simply applying Coulomb's Law to a charge distribution (b) Compute the quantity V x E(r). What does this result imply?