# Non conducting cylinder

lcam2
1. Homework Statement
A long, solid, non-conducting cylinder of radius 8 cm has a non-uniform volume density, ρ, that is a function of the radial distance r from the axis of the cylinder. ρ = A*r2 where A is a constant of value 3 μC/m5.

## Homework Equations

Gauss's law EA = Q/(epsilon)
Q(enclosed)= Pv
Volume of cylinder = 2*(PI)*r*L

## The Attempt at a Solution

Part a can be done using gauss's law, and integrating Q(enclosed)= pv; since the volume density is not constant.
The problem is part b, where the point where I have to calculate the field is outside the Gaussian surface.

Last edited:

Mentor
The problem is part b, where the point where I have to calculate the field is outside the Gaussian surface.
That's a puzzling statement, since you put the Gaussian surface wherever you need to in order to find the field. Please state the complete part b question.

lcam2
Im sorry i didn't notice it was missing,

(a) What is the magnitude of the electric field 6 cm from the axis of the cylinder?

(b) What is the magnitude of the electric field 10 cm from the axis of the cylinder?

Mentor
(b) What is the magnitude of the electric field 10 cm from the axis of the cylinder?
OK, so what's the problem in applying Gauss's law to solve this part, just like part a?