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Inductance Formula Calculation

When the current changes in a circuit containing inductance, the magnetic linkage changes and induces a voltage in the inductance:

dy/dt = e = L di/dt

Note that the induced voltage has a polarity which opposes the rate of change of current.

Alternatively, by integration with respect to time:

Y = edt = LI

The inductance L of a circuit is equal to the induced voltage divided by the rate of change of current:

L = e / di/dt = dy/dt / di/dt = dy/di

Alternatively, the inductance L of a circuit is equal to the magnetic linkage divided by the current:

L = Y / I

Note that the magnetic linkage Y is equal to the product of the number of turns N and the magnetic flux F:

Y = NF = LI

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