The inductive sensor is based on Faraday's law of induction. The temporal variations of the Magnetic Flux through a N turns circuit will induce a voltage which follows:
which can be expressed in a simpler way:
by assuming that the induced magnetic field B is homogeneous over a section S (the Magnetic flux will be expressed ).
Inductive sensors constitute the main element to build a search coil magnetometer also known as search coil. These are used in many fields of research: magnetotellurics electromagnetic waves measurement, space magnetometers to investigate electromagnetic waves in space plasma as well as natural electromagnetic waves observations on Earth.