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If you apply a DC voltage to an inductor (AC or DC, it does not matter) the current through the inductor will increase with a rate proportional to voltage and inversely proportional to inductance. di/dt = V/L In the ideal case, current would continue to rise to infinity. Since there are no ideal voltage sources, inductors, or conductors, current would rise to the limit of the voltage source's current capacity or to the voltage divided by the resistance of the circuit, whichever comes first. Note that an inductor is essentially a short circuit to a DC voltage. You need series resistance in order for the circuit to remain stable.

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