Q1:

In a certain region, the electric field is given by D = 2rho(z + 1) * cos phi*a_{rho} - rho(z + 1) * sin phi*a_{phi} + rho ^ 2 * cos phi*a_{z}*mu*C / (m ^ 2)

(a) Find the charge density.

(b) Calculate the total charge enclosed by the volume 0 < rho < 2, 0 < phi < pi / 2 0 < z < 4

(c) Confirm Gauss's law by finding the net flux through the surface of the volume in (b).