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Electromagnetism

Magnetic Force on a Current-Carrying Wire

A straight current-carrying segment experiences a magnetic force in a field.

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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, §22.7 (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

A straight current-carrying segment experiences a magnetic force in a field. Its magnitude depends on the current, active length, field strength, and angle between the current and field.

Variables & Units
Understanding each component
SymbolMeaningUnits
Magnetic force magnitude
Magnetic Field
Electric current
Straight wire length in the field
Angle between current direction and magnetic field
Real-World Applications
Where this formula is used in practice

Current-carrying conductors

Estimate magnetic force on a straight segment.

Orientation changes

Compare force for different wire-field angles.

Worked Example
Step-by-step calculation with real numbers

Problem

A 2.00 m wire segment carrying 3.00 A is perpendicular to a uniform 0.500 T field. Find the force magnitude.

Given

Solution

1
2
3

Final Answer

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