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Inductance is the property of a passive circuit to produce a voltage that is proportional to the rate of change of the current through it. Inductance is defined by the formula:

V = L di/dt

So an inductor of 1 Henry develops a voltage of 1 v across it when the current through it is changing at 1 amp per second.

This is why a DC circuit with inductance is difficult to switch off, because the inductance produces a high voltage when the switch is tripped (because the current is changing very quickly).

In an AC circuit the alternative formula is:

V = jwL.

In this case w is 2pi times the frequency in Hz and the 'j' indicates a 90-degree phase advance in the voltage relative to the current (in the formula 'w' is normally written as a small Greek letter omega but we don't have a Greek font on here).

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