Faraday's law of induction describes the relationship between changing electric and magnetic fields. It states that a changing magnetic field induces an electromotive force (emf) in a conductor, which is proportional to the rate of change of the magnetic flux through the conductor. Mathematically, it can be expressed as:

emf = -dΦmagnetic / dt

Where:

emf is the electromotive force (measured in volts)

Φmagnetic is the magnetic flux (measured in webers)

t is time (measured in seconds)

This law indicates that a time-varying magnetic field can generate an electric field. When a magnetic field changes, it induces an electric field that opposes the change in magnetic flux. This phenomenon forms the basis of many electrical devices such as generators, transformers, and inductors.

Conversely, a changing electric field can also induce a magnetic field. This relationship is described by Ampere's law with Maxwell's addition. It states that a time-varying electric field creates a magnetic field whose strength is proportional to the rate of change of the electric displacement field.

In summary, changing electric fields induce magnetic fields, and changing magnetic fields induce electric fields. These interconnected phenomena are fundamental to the understanding of electromagnetism and have numerous practical applications in electrical engineering and technology.