Calculate the electric field outside a long cylinder of finite radius R with a uniform (volume) charge density p spread throughout the volume of the cylinder.

An infinite sheet charge of has a charge density of +44.81 pC/m2 and covers the entire x-y plane. A second infinite sheet of charge has a charge density of −53.2 pC/m2 covers the entire y-z plane. What is the magnitude of the electric field at any point not on either surface?

A cylinder of length L=5m has a radius R=2 cm and linear charge density 2=300 µC/m. Although the linear charge density is a constant through the cylinder, the charge density within the cylinder changes with r. Within the cylinder, the charge density of the cylinder varies with radius as a function p( r) =p.r/R. Here R is the radius of the cylinder and R=2 cm and p, is just a constant that you need to determine. b. Find the constant po in terms of R and 2. Then plug in values of R and 1. to find the value for the constant p. c. Assuming that L>>R, use Gauss's law to find out the electric field E inside the cylinder (rR) in terms of 1. and R. d. Based on your result from problem c, find the electric field E at r=1cm and r=4cm.

Consider a very large, flat plate with surface charge density 3.46 nC/m2. Give the magnitude of the electric field (in N/C) a distance 7.54 m from the plate.