Ampère Force Calculator

Ampère Force Calculator | Online Free Tool | Elysia Tools

Tool usage guide

Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Category: Science & Education
Input types: number, select
Output type: text
Sample coverage: 4
API ready: Yes

Overview

The Ampère Force Calculator determines the magnetic force exerted on a straight current-carrying wire using the formula F = B·I·L·sinθ. It lets you select custom units for magnetic field strength, current, and conductor length, and calculates the resulting force magnitude, the 90° reference benchmark, and the right-hand-rule force orientation.

When to use

Analyzing the electromagnetic deflection force acting on a straight conductor inside a magnetic field.
Designing or troubleshooting electric motor windings, actuators, and galvanometer coils.
Solving physics problem sets covering Ampère's force law and the motor effect across different unit scales.

How it works

1Enter the magnetic flux density (B), current (I), length of the wire inside the field (L), and choose your preferred units (T, mT, µT; A, mA, kA; m, cm, mm).
2Specify the orientation angle θ in degrees between the direction of current flow and the magnetic field vector.
3The tool converts all parameters to SI base units and evaluates F = B·I·L·sinθ to output the total force magnitude in newtons, along with the peak 90° reference force and right-hand-rule direction summary.

Use cases

Electric motor winding torque and thrust estimation.
Physics classroom demonstrations of the motor effect and right-hand rule.
Evaluating electromagnetic interference and mechanical stress on high-current busbars.

Examples

1. Standard Definitional Wire Test

Physics Student

Background

A student is verifying the base definition of the tesla unit during an electromagnetism laboratory session.

Problem

Calculate the force on a 1-meter wire carrying 1 ampere placed perpendicularly in a uniform 1-tesla magnetic field.

How to use

Set Magnetic field B to 1 with unit 'T', Current I to 1 with unit 'A', Length L to 1 with unit 'm', and Angle θ to 90°.

Outcome

The calculator confirms a force magnitude of 1 N directed perpendicular to both the wire and the field according to the right-hand rule.

2. Angled Coil Segment in Motor Slot

Electrical Engineering Technician

Background

A technician needs to assess how winding angle variations affect side thrust on an armature segment.

Problem

Determine the instantaneous force on a 10 cm conductor carrying 10 A in a 0.5 T field when tilted at 30°.

How to use

Set Magnetic field B to 0.5 'T', Current I to 10 'A', Length L to 10 'cm', and Angle θ to 30°.

Outcome

Yields an active force of 0.25 N (sin 30° = 0.5) and notes that an orthogonal 90° orientation would produce 0.5 N.

FAQ

What is the formula used to calculate Ampère force?

The calculator uses Ampère's force law: F = B·I·L·sinθ, where B is magnetic field strength, I is electric current, L is conductor length within the field, and θ is the angle between current and field.

What happens when the wire is parallel to the magnetic field?

When the wire runs parallel to the magnetic field (θ = 0° or 180°), sinθ equals 0, resulting in zero magnetic force.

At what angle is the magnetic force maximized?

The maximum force occurs when the conductor is perpendicular to the magnetic field (θ = 90° or 270°), where |sinθ| = 1.

How do I determine the physical direction of the force?

Use the right-hand rule: point your fingers or index finger along the current direction, curl them toward the magnetic field vector, and your thumb points in the direction of the magnetic force.

Which measurement units can I use for inputs?

You can input magnetic field in T, mT, or µT; current in A, mA, or kA; and length in m, cm, or mm.

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Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Overview

When to use

How it works

Use cases

Examples

1. Standard Definitional Wire Test

2. Angled Coil Segment in Motor Slot

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