Hi all - I reposted this here, as I posted in the advanced forum on accident:(adsbygoogle = window.adsbygoogle || []).push({});

Here's the problem I am having trouble with:

A very long, solid insulating cylinder with radius "R" has a cylindrical hole with radius "a" bored along its entire length. The axis of the hole is a distance "b" from the axis of the cylinder, where a< b< R. The solid material of the cylinder has a uniform volume charge density.

Find the magnitude and direction of the electric field inside the hole using a,b(vector), [tex]\rho[/tex], [tex]\epsilon[/tex], and R.

The picture attached describes the surface. I really don't know where to start with this.

I believe that the field, "E", between the outer surface and the inner hole should = 0. Given that, we have a field inside the bored hole, and on the outer surface of the full cylinder. What I am getting hung up on is the usage of uniform charge density in the cylinder - I know that [tex]\rho[/tex]= Q/V(cylinder), but because of the infinite length, I am unsure if this is a necessary step. Because of the infinite length, should I use a gaussian surface to find the field on the outside to use somehow for the inside field?

I am quite confused with this one, and I am really only looking for a place to start chipping away at it - If anyone has any suggestions as to the approach of this problem, I would highly appreciate it.

Confused,

Jordan

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# Homework Help: Gaussian cylinder problem

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