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Basic electrical theory.
The current in an inductor can not change direction or magnitude instantaneously.
If a current is flowing in an inductor and you attempt to interrupt the inductor current the inductor will do "whatever is necessary" to maintain exactly the same current flowing and in the same direction.
"Whatever is necessary" means the inductor will produce a voltage across the inductor sufficient to maintain that instantaneous value of current. Note this requires a voltage reversal across the inductor terminals. This is why a reversed biased diode works as a snubber.
So if you open a switch to an inductor carrying a current the switch looks like a near infinite resistor and the inductor will try to generate an infinite voltage, but long before that the air gap in the switch will breakdown and conduct the inductor's current. Thus, some sort of snubber is needed if you do not want large voltages and arcing.
The time to discharge the stored energy in the inductor is a function of the initial current, inductance and resistance to dissipate the energy. A lower resistance is a longer time.
If you use a diode only as the snubber, then the resistance is the internal resistance of the inductor, but the terminal voltage will be no higher than the diode drop.
If you add external series resistance, then the terminal voltage will be the current times the external resistance plus diode drop, and decay time will be less than for the diode only.
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