Electric Potential: Find Potential Everywhere with q and -q on Z-Axis

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SUMMARY

The discussion centers on calculating the electric potential \(\phi\) generated by two point charges, \(q\) and \(-q\), positioned on the z-axis at coordinates (0,0,a) and (0,0,-a). Participants emphasize the use of the principle of superposition to determine the total potential at any point in space. The formula for the potential due to a point charge is crucial, and while cylindrical coordinates are mentioned, they are deemed unnecessary for this problem. The integration process for finding the potential is highlighted as a key challenge.

PREREQUISITES
  • Understanding of electric potential and point charges
  • Familiarity with the principle of superposition in electrostatics
  • Knowledge of integration techniques in physics
  • Basic concepts of coordinate systems, particularly cylindrical coordinates
NEXT STEPS
  • Review the formula for electric potential due to a point charge
  • Study the principle of superposition in electrostatics
  • Practice integration techniques relevant to electric potential calculations
  • Explore the application of cylindrical coordinates in electrostatics problems
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone involved in solving electrostatic problems involving point charges.

Crazy Gnome
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1. 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] everywhere



3. 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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I don't think cylindrical coordinates or integration will be necessary. What is the formula for the potential due to a point charge? And are you familiar with the principle of superposition?
 

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