A planar charged sheet extending from-h to h in the z direction and extending infinitely in the r and y directions has charge density e (z.y.z) Po (for 2 < h), and p (r, y, 2) 0 for 2>h. Derive the electric field for z> h.

A charge of 7.60 pC is spread uniformly throughout the volume of a sphere of radiusr= 4.15 cm. What is the magnitude of the %3D electric field at a radial distance of (a)6.29 cm and (b)3.23 cm?

An infinite, insulating cylinder of radius ri is surrounded by an air gap and a thin, cylindrical conducting shell of radius r2. The insulating cylinder carries constant volume charge density p and the conducting shell carries a constant area charge density o. Use Gauss's law to calculate the quantity f E•dA for the Gaussian shape (a) most appropriate for this problem. (b) distribution). Find the electric field in the region r < ri (inside the volume charge (c) Find the electric field in the region r1 < r < r2 (air gap region) 2.

Problem 3: UP 6.53 Charge is distributed uniformly with a density p throughout an infinitely long cylindrical volume of radius R. Show that the field of this charge distribution is directed radially with respect to the cylinder and that E(s) = ps 2€0 PR² 2€ S S≤R SZR