Self Inductance
Since any circuit is linked by its own magnetic flux, Faraday’s Law requires that a self-induced emf be generated any time the current in a circuit changes in time:
where L is the self inductance of the circuit:
The self inductance depends only on the shape of the circuit - never on the current.
It is possible to shape a circuit so as to dramatically increase its self inductance. For example, wrapping wire into a coil of length d and area A with N turns produces an air-core soleniod with inductance
Actually, this formula is only correct for very long solenoids.
Mutual Inductance
The current in one circuit can induce currents in remote circuits whenever magnetic flux of one links the other.
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