What is the relationship between the current flowing through a conductor and the magnetic field it generates?

The relationship between the current flowing through a conductor and the magnetic field it generates is described by Ampere's law. When an electric current flows through a conductor, it creates a magnetic field around the conductor. The strength of the magnetic field is directly proportional to the amount of current flowing through the conductor. This phenomenon is the basis for electromagnetism and is used in various applications such as electric motors and generators.