210922-1006 EDT
I have run some further experiments with a little greater accuracy.
A review --- I believe posts #1 and #5 describe a single diode connected in series with an AC source, and an inductor with some internal resistance. It could be a diode bridge, doesn't matter. This was probably done to supply DC to an inductor. The purpose of the posts was to inquire as to why there were some failures of the diode.
If you know something about inductors, then you realize that the current thru the inductor can not instantaneously change value. Thus, in a series circuit of a battery, switch, resistor, and inductor the current in an inductor has to be exactly the same before and after switch actuation. From various posts of the past I have noticed that a number of responders do not understand, or know about this fundamental characteristic of an inductor.
To get at the basic problem brought up by chris in posts #1 and #5 I want to work with the simplest possible circuit. Thus, I selected the circuit of a 12 V battery plus terminal, switch, a shunt variable resistor from switch output back to said battery negative terminal. In parallel with the shunt resistor is the inductor and its internal series resistance.
I call this a shunt resistor by that name because it is in parallel with the inductor when said switch is closed, but it becomes a series resistor when the switch is open.
The inductor is a Stancher C1003 with 540 ohms measured internal resistance. The shunt resistor is a 0 to 10,000 ohm 10 turn Heliport.
The LRC bridge is a General Radio 1650-A operating at 1 kHz for inductance, and DC for resistance. The voltage across the inductor when at its measured condition was 0.74 V. Thus, core of the inductor was at a low flux level compared to my transient measurements. The measured values were 21 H, 9.8 Q @ 1 kHz, and 540 ohms DC.
The circuit source voltage for my transient test was a 12.2 V storage battery. This voltage did not change between the test load and no load. Thus, the inductor is charged to a current level of 12.2/540 = 22.6 mA. You will note in the following results that we get relatively close correlation between the measured results, and calculated results.
in all of the following tests the initial current into the circuit resistance at t = 0 is 0.0226 A. t = 0 is the time of opening the charging current from the battery. The total circuit resistance at this time is the sum of the internal resistance and the Heliport resistance. the measured voltage on the scope is only the voltage across the Helipot. The circuit resistance was setup by using a Fluke 27 ohmmeter to measure the sum of the internal resistance, and the external adjustable resistance. From the following results I assumed the inductance was 37 H at the operating flux level.
Loop R ..... Init V ....... V at Time Cnst ...... Time to 1 TC .... L/R
1 k ............ 10.4 ........ 3.85 ....................... 0.038 S ............. 0.037
2 k ............ 34 ........... 12.6 ....................... 0.018 S ............. 0.0175
3 k ............ 61 ........... 22.6 ....................... 0.011 S ............. 0.0123
5 k ............ 100 ......... 37 .......................... 0.0072 S ........... 0.0074
10 k .......... 210 ......... 78 .......................... 0.004 S ............. 0.0037
Loop R is the loop resistance measured with Fluke 27.
Init V is the initial peak voltage, across the external series resistance, measured on the scope.
V at Time Const is the calculated voltage of the waveform at 1 time constant using 0.37 times Int V.
Time to 1 TC is the time measured on the scope to the waveform point that is 0.37 of the Init V.
L/R is the calculated time constant from an assumed 37 H inductance, and the measured Loop R.
If you used only a back biased diode as the shunt across the inductor, then the time to 1 time constant is close to L/Rint.
Note the good correlation between Time to 1 TC and L/R
.