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Electrical Engineering

Electric Potential Difference

Electric potential difference is the change in electric potential energy per unit charge moved between two points.

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Source & review

Difficulty

Beginner

Read time

5 min

Prerequisites

Basic algebra and consistent SI units

Review statusNeeds review

Source

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

Textbook reference retained from the OpenFormulaGraph dataset; adaptation credits and license are provided below.

Adapted from OpenFormulaGraph, under CC BY 4.0.

FormuLab adapted the notation, explanations, assumptions, and topic placement, and expanded the numerical check into a worked example.

Definition
Understanding the core concept

Electric potential difference is the change in electric potential energy per unit charge moved between two points. A signed charge and a signed energy change must be used consistently to obtain the voltage difference.

Variables & Units
Understanding each component
SymbolMeaningUnits
Electric potential difference
Change in electric potential energy
Signed test charge
Real-World Applications
Where this formula is used in practice

Electric fields

Relate potential energy changes to voltage.

Charged particles

Find the energy change from a known potential difference.

Worked Example
Step-by-step calculation with real numbers

Problem

A +4.00 µC charge gains 0.00200 J of electric potential energy between two points. Find the potential difference, final minus initial.

Given

Solution

1
2
3

Final Answer

FormuLab is a study reference. Verify formulas, units, assumptions, and course-specific conventions before relying on them.

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