Maxwell's law is an important law in electromagnetism that relates the magnetic field and its sources. It is derived from Ampere's law, which describes the magnetic field generated by a current-carrying wire. Maxwell's law is given by:

Curl(H) = J

Explanation:

Curl(H) is the curl of the magnetic field H. It describes how the magnetic field changes in space. J is the current density, which describes the amount of current flowing through a given area. The equation states that the curl of the magnetic field is equal to the current density, which means that the magnetic field is generated by the current flowing through a wire.

Maxwell's law is important because it relates the magnetic field and its sources. It is one of the four Maxwell's equations that describe the behavior of electric and magnetic fields. The other three equations are Gauss's law, Gauss's law for magnetism, and Faraday's law of induction. Together, these four equations form the foundation of electromagnetism and are used to describe a wide range of phenomena, from the behavior of electric motors to the propagation of electromagnetic waves.

Conclusion:

In conclusion, Maxwell's law is derived from Ampere's law and relates the magnetic field and its sources. It is one of the four Maxwell's equations that describe the behavior of electric and magnetic fields. The equation states that the curl of the magnetic field is equal to the current density, which means that the magnetic field is generated by the current flowing through a wire.