What is the Potential Inside a Homogeneous Resistor?

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Homework Statement


Determine the potential [tex]\phi[/tex] inside a resistor of length l and radius a.
Also determine the current density J, resistance R, surface and volume charge density Pe and Pes. The resistor is homogeneous.


Homework Equations





The Attempt at a Solution


V=Ed, d=l here
V=El
E = J/[tex]\sigma[/tex]
So V= J/[tex]\sigma[/tex] l ?
 
Attachments
  • Diagram of a cylindrical resistor with length l and radius a, conductivity sigma e, with axes Z and Y, connected at its top and bottom ends to a voltage source labelled phi 0 and to ground.
    10_1.jpg
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With your attempt so far, you can find the electric field. Then use that to compute the potential difference between one end of the resistor and a point somewhere in the middle. That should get you started.