# Ampère's Law

 Current: Path Through Magnetic Field 1:

Output: Press calculate

Formula:B = μ0 × (I × ΣHi)

## Introduction to Ampère's Law

Ampère's Law, named after French physicist André-Marie Ampère, relates the integrated magnetic field around a closed loop to the electric current passing through the loop. Mathematically, it is stated as the integral of magnetic field B around closed loop = μ0 times the electric current I times the summation of magnetic field contributions ΣHi from the wires that penetrate the loop.

## Parameter usage:

• current = electric current passing through the loop (in amperes)
• ...pathThroughMagneticField = magnetic field contributions (in teslas) from sections of the path where the current is interacting with the magnetic field

## Example valid values:

• current= 5 (Ampères)
• pathThroughMagneticField= 1, 2, 3 (Teslas)

## Output:

• magneticFieldSum × current= result expressed in terms of m(A∙T), where m is an arbitrary constant due to the lack of circumference in this simple representation of Ampère's Law.

## Data validation

The current must be greater than zero, as well as the values for the magnetic field contributions.

## Summary

This function calculates the combined effect of an electric current as it passes through a magnetic field, based on a simplified representation of Ampère's Law. It is not a complete depiction of Ampère's Law, which in reality also involves the path integral around a closed loop.