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Electromagnetism

Electric Field of a Point Charge

The field of an isolated point charge varies inversely with squared distance.

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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. The textbook section reference was corrected.

Definition
Understanding the core concept

The field of an isolated point charge varies inversely with squared distance. A positive source produces an outward radial field and a negative source an inward radial field.

Variables & Units
Understanding each component
SymbolMeaningUnits
Signed radial electric-field component
Coulomb's Constant
Signed source charge
Distance from the source charge
Real-World Applications
Where this formula is used in practice

Point-charge fields

Find the radial electric field away from a source.

Field superposition

Supply one contribution to a multi-charge field calculation.

Worked Example
Step-by-step calculation with real numbers

Problem

Find the radial electric field 0.300 m from a +2.00 µC point charge in vacuum.

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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