In 1820, André-Marie Ampère formulated what is now known as Ampère’s circuital law. The French physicist and mathematician discovered that the magnetic field created by a current-carrying conductor could be represented mathematically as the sum of a series of small circular loops. This result was significant because it allowed for the prediction of the strength and direction of a magnetic field based on knowledge of the current flowing through the conductor.

Furthermore, Ampere’s Circuital Law states that the integral of the magnetic field around a closed loop is equal to the sum of the currents passing through that loop. This law is used to calculate the magnetic fields generated by electric currents.

The law was first published in 1826 by André-Marie Ampère, who was a French physicist and mathematician. The law is also known as Ampère’s Force Law or Ampère’s Magnetic Field Law. The SI unit for measuring current is named after him – the ampere.

This law forms one of Maxwell’s equations, which are a set of four equations that describe electromagnetic radiation and how it behaves. These equations are fundamental to our understanding of electricity, magnetism, and light.

Ampère’s circuital law is an important tool in understanding electromagnetism and has applications in many areas, including electrical engineering and physics. The law can be used to calculate the magnetic field produced by a coil of wire or to determine how much current is required to produce a given amount of magnetism. It also forms the basis for mathematical models used to describe electromagnetic phenomena such as induction and Faraday’s Law of Induction.