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Electromagnetism

Electric Field from Force per Charge

Electric field is the electric force per unit test charge.

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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, §18.4 (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 field is the electric force per unit test charge. The vector force reverses direction for a negative charge; scalar components must use a consistent sign convention.

Variables & Units
Understanding each component
SymbolMeaningUnits
Electric Field
Force
Electric charge
Real-World Applications
Where this formula is used in practice

Test charges

Infer a field component from an electric force.

Force prediction

Relate a field to the force on a known charge.

Worked Example
Step-by-step calculation with real numbers

Problem

A +4.00 µC test charge experiences an electric force of +0.00200 N along an axis. Find that component of electric field.

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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