100701-0824 EST
mull982:
I dont see what you are saying about the voltage across an inductor becoming 0 after a period of time?
When you create the equivalent circuit of a real world inductor it is drawn as an ideal inductor (no internal resistance) and a resistor. To study the transient or steady-state operation of the circuit you write the differential equations for what you want to study and then solve these.
By observation if you connect a DC voltage, such as a battery, to the series RL circuit you see that the t=0+ i = 0, and for t = infinity i = V/R. Assuming zero initial energy in the inductor. From the differential equation it is found that the current between 0 and infinity is related to an exponential curve.
Clearly at infinity all the voltage drop is across the resistor and none across the inductor.
Most books on differential equations will describe some simple electrical circuits. Most slightly advanced electrical circuit theory books will also describe differential equation analysis of transient conditions and maybe steady-state as well.
What a DC current does in addition to an AC input to a ferromagnetic inductor is to bias the hysteresis curve into an unbalanced condition. The hysteresis curve will have an unsymmetrical shape causing a greater peaking of the current waveform on one half of the AC cycle.
An experiment:
I used a Signal Transformer 241-6-20, a 1N5625 diode, a 330 ohm current sense resistor, a Variac, and a dual channel oscilloscope. The resistor and diode are connected in series with the primary. One end of the resistor needs to connect to the common (neutral) of the Variac. Use a differential input to one scope channel from the resistor. Connect the other channel to the transformer secondary. The secondary voltage is the rate of change of flux.
Adjust the the source voltage from 0 to 120 and observe the change in the waveforms. Do not exceed the full rated primary RMS current for a great amount of time.
The effects of saturation cause an increase in peaking of the primary current and a change in the distortion of the secondary voltage.
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