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Electrical Engineering

Energy Stored in an Inductor

An inductor stores energy in its magnetic field when it carries current.

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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, §23.9 (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

An inductor stores energy in its magnetic field when it carries current. With constant inductance, the stored energy increases with the square of current and is independent of the sign of that current.

Variables & Units
Understanding each component
SymbolMeaningUnits
Stored magnetic-field energy
Inductance
Current through the inductor
Real-World Applications
Where this formula is used in practice

Inductive circuits

Estimate energy stored before a switching event.

Coils

Compare stored energy at different currents.

Worked Example
Step-by-step calculation with real numbers

Problem

An ideal 0.500 H inductor carries 2.00 A. Find its stored magnetic energy.

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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