An infinitely long cylinder of radius R, and total charge per unit length, A, has a charge density that varies as a function of radius, r as p(r) = . - r a. Calculate the coefficient, C given A. To do this set up and carry out an appropriate integral over the radius with the proper radial weighting. b. Evaluate the electric field produced by the charged distribution for both r < R and r > R. c. Evaluate the electric potential (e.g. using Aø = - S Ē · d7) as a function of r assuming o(0) = 0.

An infinitely long cylinder of radius R, and total charge per unit length, A, has a charge density that varies as a function of radius, r as p(r) = . - r a. Calculate the coefficient, C given A. To do this set up and carry out an appropriate integral over the radius with the proper radial weighting. b. Evaluate the electric field produced by the charged distribution for both r < R and r > R. c. Evaluate the electric potential (e.g. using Aø = - S Ē · d7) as a function of r assuming o(0) = 0.