Inductance
The inductance of a solenoid (an idealization of a coil) is defined as:
This, and the inductance of more complicated shapes, can be derived from Maxwell's equations.
The voltage generated is as follows:
- ,
The operation of an inductor can be understood using a simple loop of wire as an example. The current flowing through the loop of wire produces a magnetic field by Ampere's law. A change in current (di/dt) results in a change in this magnetic field. This changing magnetic field causes an electromotive force in the conductor under Faraday's law of induction, which results in a voltage (V) forming in a such a direction as to oppose the change in current (see Lenz's law). The constant of proportionality L, which tells us for a particular device how big a voltage should be expected for a given change in current, is called the inductance.