When current flow tries to decrease in an inductor, the magnetic field collapses and the voltage polarity across the inductor reverses
The associated magnetic flux also decreases, it then induces an e m f across the inductor, the sense of which is to assist the decreasing current.
Faraday's law of induction (to distinguish it from his laws of electrolysis), states that the magnitude of the emf induced in a circuit is proportional to the rate of change with time t of the magnetic flux Φ that cuts across the circuit:
emf = −dΦ/dt
Lenz's law, in electromagnetism, statement that an induced electric current flows in a direction such that the current opposes the change that induced it.
When the current flowing through the coil changes, the time-varying magnetic field induces an electromotive force (e.m.f) in the conductor, described by Faraday's law of induction.
According to Lenz's law, the induced voltage has a polarity (direction) which opposes the change in current that created it. As a result, inductors oppose any changes in current through them. Hence , polarity across the inductor got reversed
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