What is the Potential Inside a Homogeneous Resistor?

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SUMMARY

The discussion centers on calculating the electric potential \(\phi\) inside a homogeneous resistor characterized by its length \(l\) and radius \(a\). The key equations utilized include \(V = Ed\) and \(E = J/\sigma\), leading to the relationship \(V = J/\sigma l\). Participants emphasize the importance of determining the electric field to compute the potential difference across the resistor. The focus is on deriving current density \(J\), resistance \(R\), and charge densities \(Pe\) and \(Pes\).

PREREQUISITES
  • Understanding of Ohm's Law and electric potential
  • Familiarity with current density and resistivity concepts
  • Knowledge of electric field calculations
  • Basic principles of homogeneous materials in electrical engineering
NEXT STEPS
  • Study the derivation of electric field in resistive materials
  • Learn about the relationship between current density and electric field
  • Explore the concepts of surface and volume charge density in conductors
  • Investigate the implications of resistor geometry on electrical properties
USEFUL FOR

Electrical engineering students, physics learners, and professionals involved in circuit design and analysis will benefit from this discussion.

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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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Anyone?
 
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.
 

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