What is the Potential Inside a Homogeneous Resistor?

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Homework Statement


Determine the potential \phi 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/\sigma
So V= J/\sigma l ?
 

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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.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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