Find an expression for the electric potential

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SUMMARY

The discussion focuses on deriving the expression for the electric potential at a distance z from the center of a uniformly charged rod along its bisecting line. Participants emphasize the importance of using Coulomb's Law for continuous charge distributions rather than relying on incorrect assumptions. The initial guess of (kQL)/z is identified as incorrect due to unit discrepancies. The correct approach involves integrating the contributions of infinitesimal charge elements along the length of the rod.

PREREQUISITES
  • Coulomb's Law for electric fields
  • Understanding of electric potential concepts
  • Integration techniques in calculus
  • Knowledge of continuous charge distributions
NEXT STEPS
  • Study the derivation of electric potential from continuous charge distributions
  • Learn about the application of integration in electrostatics
  • Explore the concept of electric field lines and their relation to potential
  • Investigate the differences between point charges and distributed charges
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators and anyone interested in understanding electric potential calculations in electrostatics.

unger36
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Homework Statement



Find an expression for the electric potential a distance z away from the center of rod on the line that bisects the rod.

Express your answer in term of k, Q, L, z and appropriate constants.

Here is the picture.

29_P69.jpg



Homework Equations





The Attempt at a Solution



I'm thinking it should be (kQL)/z. I just can't figure out why that isn't correct.
 
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Hi Unger, welcome to PF!:smile:

unger36 said:

The Attempt at a Solution



I'm thinking it should be (kQL)/z. I just can't figure out why that isn't correct.

Why do you think it is kQL/z?...That doesn't even have the correct units for potential!:wink:

Instead of blindly guessing at the answer, you should try to actually calculate it!:smile:

Hint: Use Coulomb's Law for a continuous charge distribution.
 

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