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**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.

Gauss's law EA = Q/(epsilon)

Q(enclosed)= Pv

Volume of cylinder = 2*(PI)*r*L

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.

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.

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