Student handout: Electrostatic Potential Due to a Pair of Charges (without Series)

AIMS Maxwell 2021
  • The superposition principle for the electrostatic potential;
  • How to calculate the distance formula \(\frac{1}{|\vec{r} - \vec{r}'|}\) for a simple specific geometric situation;
What students learn
  • The superposition principle for the electrostatic potential;
  • How to calculate the distance formula \(\frac{1}{|\vec{r} - \vec{r}'|}\) for a simple specific geometric situation;
Electrostatic Potential from Two Charges
  • Find a formula for the electrostatic potential \(V(\vec{r})\) that is valid everywhere in space for:
    • Two charges \(+Q\) and \(+Q\) placed on the z-axis at \(z'=D\) and \(z'=-D\).
    • Two charges \(+Q\) and \(-Q\) placed on the z-axis at \(z'=D\) and \(z'=-D\), respectively.
  • Simplify your formulas for the special cases of:
    • the \(x\)-axis
    • the \(z\)-axis
  • Discuss the relationship between the symmetries of the physical situations and the symmetries of the functions in these special cases.

Editor
corinne
Keywords
Electric potential Point Charges Distance Formula
Learning Outcomes
Publication Status
Published
Publication Date
Nov. 11, 2025, 3:22 p.m.