Ampère's Law

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.