## Ampere’s law

The size of the magnetic field created by an electric current is directly proportional to the magnitude of that current. The proportionality constant is equal to the permeability of free space. This relationship is an essential concept in electromagnetism known as Ampère’s circuital law.

Ampere’s circuital law states that the line integral of the magnetic field around a closed loop is equal to the total electric current passing through the loop. In this article, we will delve into the details of Ampère’s Law and its significance.

## What is Ampere’s Circuital Law

Ampère’s circuital law can be expressed as the line integral of the magnetic field along a closed loop being equal to the sum of the currents passing through the loop.

### Ampere’s Circuital Law Equation

If a conductor carries a current I, it generates a magnetic field that surrounds the wire.

The left side of the equation signifies that if we consider an imaginary path encircling the wire and sum up the magnetic field at every point along this path, it will be numerically equal to the current enclosed by this loop, denoted.

Applications of Ampère’s Law Ampère’s Law finds various applications, including:

- Determining the magnetic induction caused by a long wire carrying current.
- Calculating the magnetic field inside a toroid.
- Analyzing the magnetic field generated by a long current-carrying conducting cylinder.
- Investigating the magnetic field within a conductor.
- Understanding the forces between currents.

By applying Ampère’s Law, we can gain valuable insights into the behavior of magnetic fields resulting from electric currents in different scenarios and solve practical problems related to electromagnetism.