The magnetic field created by a current flowing through an inductor is described by classical electromagnetism. It is not directly governed by quantum theory.
In classical electromagnetism, the magnetic field generated by a current in an inductor follows the principles of Maxwell's equations. When an electric current passes through a wire wound around a core (typically made of a ferromagnetic material), it induces a magnetic field around the inductor. This magnetic field is proportional to the current flowing through the inductor and is characterized by the right-hand rule, which determines the direction of the field based on the direction of the current.
The classical description of the magnetic field created by an inductor is sufficient for most practical purposes and is commonly used in engineering applications. Quantum theory, on the other hand, deals with the behavior of particles at the quantum level and describes phenomena that involve individual particles and their interactions on a microscopic scale. While quantum mechanics provides a deeper understanding of the fundamental nature of matter and energy, its effects typically become significant only at extremely small scales or in certain specialized situations.
Therefore, for the magnetic field created by a current in an inductor, classical electromagnetism is the appropriate framework to describe and analyze its properties and behavior.