Electric Potential: Find Potential Everywhere from Two Point Charges

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SUMMARY

The discussion focuses on calculating the electric potential \(\phi\) from two point charges, \(q\) and \(-q\), positioned on the z-axis at coordinates (0,0,a) and (0,0,-a). The potential at any point in space can be determined by summing the contributions from each charge using the formula for the potential due to a point charge. The integration approach is unnecessary for this problem, as the superposition principle allows for straightforward addition of potentials from both charges.

PREREQUISITES
  • Understanding of electric potential and point charges
  • Familiarity with the superposition principle in electrostatics
  • Knowledge of cylindrical coordinates
  • Ability to apply the formula for potential due to a point charge
NEXT STEPS
  • Study the superposition principle in electrostatics
  • Learn about electric potential calculations in cylindrical coordinates
  • Explore integration techniques for electric fields and potentials
  • Review the mathematical derivation of the potential due to multiple point charges
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone studying electrostatics, particularly those focusing on electric potential and point charge interactions.

Crazy Gnome
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Homework Statement


Two point charges q and -q are located on the z axis at (x,y,z) = (0,0,a) and (0,0,-a) respectively.

Find the potential [tex]\phi[/tex] everwhere



The Attempt at a Solution



I know all the equations and such, I just don't know how to integrate it. I am guessing that it is in cylindrical coordinates.
 
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Why do you need to integrate it? Just find the potential at any point due to q and the one due to -q and add up the two. This one you can easily apply the formula for potential due to point charge.
 

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