# Ampère Force Calculator

F = B·I·L·sinθ for a current-carrying wire, with unit selectors, the force magnitude, the 90° reference, and the right-hand-rule direction.

> Canonical page: https://elysiatools.com/en/tools/ampere-force-calculator

- **Category:** Science & Education

- **Keywords:** amperes force law, magnetic force wire, current carrying conductor, motor effect, tesla, electromagnetism

## 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.

## Inputs

- **Magnetic field B** (number): e.g. 1
- **Field unit** (select)
- **Current I** (number): e.g. 1
- **Current unit** (select)
- **Length in field L** (number): e.g. 1
- **Length unit** (select)
- **Angle θ (degrees)** (number): e.g. 90

## 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

- Enter 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).
- Specify the orientation angle θ in degrees between the direction of current flow and the magnetic field vector.
- The 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.

## Frequently asked questions

### 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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