- #1
edwiddy
- 4
- 0
This is for a stat mech class which randomly has a homework question with an electric field calculation. It's been a while, so I've forgotten a lot :(
We have a wire of radius [tex]r_0[/tex] that is coincident with the axis of a cylinder with radius [tex]R[/tex] and length [tex]L[/tex]. The wire is maintained at positive potential $V$ with respect to the cylinder. Find the electrostatic field that exists at [tex]r, r_0 < r < R[/tex].
There is some thermodynamics stuff about the electrons forming a dilute gas, etc, but since we're given no information about the density and stuff I assume that they won't affect the electric field.
Gauss's law: [tex]\Phi = \frac{Q}{\epsilon_0}[/tex]
Definition of potential: [tex]\int_{r_0}^{R} E dr = V[/tex]
The issue is pretty straight forward. I plan on picking a cylinder with radius [tex]r[/tex] around the wire as the Gaussian surface for Gauss's law. However, I can't seem to use the potential with Gauss's law.
Thanks in advance.
EDIT: issues with tex.
Homework Statement
We have a wire of radius [tex]r_0[/tex] that is coincident with the axis of a cylinder with radius [tex]R[/tex] and length [tex]L[/tex]. The wire is maintained at positive potential $V$ with respect to the cylinder. Find the electrostatic field that exists at [tex]r, r_0 < r < R[/tex].
There is some thermodynamics stuff about the electrons forming a dilute gas, etc, but since we're given no information about the density and stuff I assume that they won't affect the electric field.
Homework Equations
Gauss's law: [tex]\Phi = \frac{Q}{\epsilon_0}[/tex]
Definition of potential: [tex]\int_{r_0}^{R} E dr = V[/tex]
The Attempt at a Solution
The issue is pretty straight forward. I plan on picking a cylinder with radius [tex]r[/tex] around the wire as the Gaussian surface for Gauss's law. However, I can't seem to use the potential with Gauss's law.
Thanks in advance.
EDIT: issues with tex.