Potetial Difference between center and point r

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SUMMARY

The discussion focuses on calculating the potential difference between the center of a cylindrical conductor and a point at a distance r from its center. The cylindrical conductor has a length L and radius R, with the condition that L is significantly greater than R. The approach involves setting the potential at the origin to zero and determining the potential at distance r by integrating the electric field. This method is confirmed as a reasonable approach for the problem presented.

PREREQUISITES
  • Understanding of electric fields and potential difference
  • Knowledge of cylindrical coordinates
  • Familiarity with calculus, specifically integration
  • Concept of charge distribution in conductors
NEXT STEPS
  • Study the derivation of electric fields for cylindrical conductors
  • Learn about potential difference calculations in electrostatics
  • Explore boundary effects in electrostatic problems
  • Investigate the application of Gauss's Law in cylindrical symmetry
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators looking for clear examples of potential difference calculations in cylindrical geometries.

lordlarddallas
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Homework Statement


A cylindrical conductor of length L and radius R, L » R, carries a charge Q. 1. Neglecting boundary effects; evaluate the potential difference between a point at distance r from the center of the cylinder, and the center. Assume r to be of the same order of magnitude as R but external to the cylinder.

Homework Equations

The Attempt at a Solution


I would set the potential at the origin equals to 0, then I would calculate the potential at a distance r by finding the electric field and taking the negative integral of it.
 
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lordlarddallas said:
I would set the potential at the origin equals to 0, then I would calculate the potential at a distance r by finding the electric field and taking the negative integral of it.
Seems reasonable. Is that what you wanted to know?
 

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