An infinitely long, cylindrical, insulating shell of inner radius 1.80 cm and ou

Question

An infinitely long, cylindrical, insulating shell of inner radius 1.80 cm and outer radius 4.00 cm has a uniform volume charge density 890.0 microC/m3. A line of uniform linear charge density 2.50 microC/m is placed along the axis of the shell.

(a) First, what is the linear charge density of the insulating shell alone?

C/m

Now determine the electric field strength at the following radial distances from the central line of charge. It is useful to use Gauss's Law to solve the problem symbolically before determining the numerical answers.

Explanation / Answer

a) linear charge den. = 1*pi*(R2^2-R1^2)(rho) = .00356 C/m

now e will take a guassian cylinder of lenth 1 m in all cases... and apply guass law...

b) we will get E = 2K(linear charge den)/d => E = 5*10^9 V/m

c) E = 2.4*10^9 V/m

d)

e) E = 2.397*10^9 V/m

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