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.
- Keywords
- Electric potential Point Charges Distance Formula
- Learning Outcomes
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