Inductor | Why Current Lags behind Voltage by 90 degrees? (Mathematical Explanation)

Why Current Lags behind Voltage by 90 degrees in an Inductive Circuit?

Inductor in its most basic form is a coil of wire wounded around some core material. When current passes through this coil of wire, magnetic flux is generated, which opposes any change in the flow of current. If you compare this with a resistor, a resistance offers a potential drop across it which is directly proportional to the current. However, in a pure inductive circuit, the inductor induces an emf which is opposite to the voltage supply and is proportional to the rate of change of current. This leads to an interesting relationship between the current and voltage, as the phase of the current lags behind the voltage by 90 degrees.
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