A cylinder of length L=5m has a radius R=2 cm and linear charge density 2=300 µC/m. Although thelinear charge density is a constant through the cylinder, the charge density within the cylinder changeswith 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 forthe 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.

Given L=5m, R=2cm=0.02m, λ=300μC/m=300x10-6C/m

Answered: A cylinder of length L=5m has a radius…

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