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The search coil magnetometer or induction magnetometer, based on an inductive sensor (also known as inductive loop and inductive coil), is a
magnetometer A magnetometer is a device that measures magnetic field or magnetic dipole moment. Different types of magnetometers measure the direction, strength, or relative change of a magnetic field at a particular location. A compass is one such device, o ...
which measures the varying magnetic flux. An inductive sensor connected to a conditioning
electronic circuit An electronic circuit is composed of individual electronic components, such as resistors, transistors, capacitors, inductors and diodes, connected by conductive wires or traces through which electric current can flow. It is a type of electri ...
constitutes a search coil magnetometer. It is a
vector magnetometer A magnetometer is a device that measures magnetic field or magnetic dipole moment. Different types of magnetometers measure the direction, strength, or relative change of a magnetic field at a particular location. A compass is one such device, on ...
which can measure one or more components of the magnetic field. A classical configuration uses three orthogonal inductive sensors. The search-coil magnetometer can measure magnetic field from mHz up to hundreds of MHz.


Principle

The inductive sensor is based on
Faraday's law of induction Faraday's law of induction (briefly, Faraday's law) is a basic law of electromagnetism predicting how a magnetic field will interact with an electric circuit to produce an electromotive force (emf)—a phenomenon known as electromagnetic indu ...
. The temporal variation of the Magnetic Flux \Phi through a ''N'' turns circuit will induce a voltage ''e'' which follows : e = - N\frac which can be expressed in a simpler way : e = - N\times S\frac by assuming that the induced magnetic field B is homogeneous over a section ''S'' (the Magnetic flux will be expressed \Phi = B\times S ). The induced voltage (''e'') may be increased several ways: * increase the surface (''S''), * increase the turn number (''N''), * use a ferromagnetic core.


Search coil using a ferromagnetic core

When a coil is wound around a
ferromagnetic Ferromagnetism is a property of certain materials (such as iron) which results in a large observed magnetic permeability, and in many cases a large magnetic coercivity allowing the material to form a permanent magnet. Ferromagnetic materials ...
core, that increases the sensitivity of the sensor thanks to the apparent permeability of the ferromagnetic core.


Apparent permeability

The magnetic amplification, known as apparent permeability ''\mu_'', is the result of the
magnetization In classical electromagnetism, magnetization is the vector field that expresses the density of permanent or induced magnetic dipole moments in a magnetic material. Movement within this field is described by direction and is either Axial or Di ...
of the ferromagnetic core response to an external magnetic field. The magnetization is reduced by the demagnetizing field. : \mu_ = \frac where ''\mu_r'' is the relative permeability, '' N_z '' is the demagnetizing coefficient in the ''z'' direction. The induced voltage will be written : -Ne = NS\mu_\frac The demagnetizing coefficient can easily be computed in the case of simple shapes (spheres and ellipsoids).


Applications

* Eye tracker: a search coil is used to measure eye movement using coils that are embedded into a contact lens. * Education * Non Destructive Testing * Magnetotellurics * Space research * Natural electromagnetic waves observations on Earth.


References

{{reflist * Pavel Ripka, ''Magnetic Sensors and Magnetometers'', Artech House Publishers
S. Tumanski, ''Induction Coil Sensors - a Review''



See also

* Waves (Juno) (Uses a magnetic search coil) Vision Magnetometers