. Dirac Delta Function and Charges: Suppose you have a charge distribution that looks like pin 9, ti] = A50 - Rie - W2} where p(r, digit) is

Describe in words where in space there is nonzero charge. The charge is spread out over what shape?

fi. Dirac Delta Function and Charges: Suppose you have a charge distribution that looks like pin 9, ti] = A50" - Rifle - W2}where p(r, digit) is the charge per unit volume expressed in spherical coordinates, and A is constant. (a) Describe in words where in space there is a nonzero charge. The charge is spread out overwhat shape? (b) The total charge in all space is Q = 9 07Vall space ‘What is the total charge of this charge distribution? (c) ‘What are the dimensions (or SI units} of A? Could the constant A be the linear charge density,A? {charge per unit length over the 1D curve that you described in part a.) (d) Is the linear charge density A constant or not? Give A in terms of A, R, and H.