Problem 4. Exponentially Decaying Charge Density. A spherically symmetric charge distribution is described by a volume charge density given by p = Poe-"/a, where po and a are both positive constants, and r is the distance from the center of the distribution. (a) Determine the electric field at any value of r. (b) Sketch the graph of the electric field magnitude with r. (c) Describe how the electric field varies with the distance r.

Problem 4. Exponentially Decaying Charge Density. A spherically symmetric charge distribution is described by a volume charge density given by p = Poe-"/a, where po and a are both positive constants, and r is the distance from the center of the distribution. (a) Determine the electric field at any value of r. (b) Sketch the graph of the electric field magnitude with r. (c) Describe how the electric field varies with the distance r.