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Electromagnetism

Electric Potential Energy Between Two Charges

Electric interaction energy for two point charges depends on their signed charge product and separation.

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Source & review

Difficulty

Intermediate

Read time

5 min

Prerequisites

Basic algebra, consistent units, and the stated model assumptions

Review statusNeeds review

Source

OpenStax, College Physics 2e, §19.1 (Paul Peter Urone and Roger Hinrichs)

OpenFormulaGraph equation reference; FormuLab adaptation details and license are provided below.

Adapted from OpenFormulaGraph, under CC BY 4.0.

FormuLab adapted wording, notation, applicability conditions and topic placement, and expanded the numerical check into a worked example.

Definition
Understanding the core concept

Electric interaction energy for two point charges depends on their signed charge product and separation. With zero energy at infinite separation, like-charge pairs have positive energy and unlike-charge pairs negative energy.

Variables & Units
Understanding each component
SymbolMeaningUnits
Energy (electric potential)
Coulomb's Constant
Electric charge (1)
Electric charge (2)
Charge separation
Real-World Applications
Where this formula is used in practice

Charge interactions

Find energy relative to infinite separation.

Energy changes

Compare interaction energies at different separations.

Worked Example
Step-by-step calculation with real numbers

Problem

Find the interaction energy of +2.00 µC and +3.00 µC point charges separated by 0.500 m in vacuum.

Given

Solution

1
2
3

Final Answer

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