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May 16, 2021 at 18:26 comment added jonk @seven Done. I used @ Transistor's approach. Hopefully, it is at least 'fun' to read through. Best wishes!
May 16, 2021 at 16:44 comment added seven Thank you very much for your offer, @jonk. I am still curious how to do such a precise calculation and to discover what math I have to learn for that ;). So if it is not too much of a time investment for you, I really would be happy to get to know the closed equation or further hints to it (like the - for me new - LambertW() function). I have also just found the paper Verifying the diode–capacitor circuit voltage decay by Edward H. Hellen which might lead me to a next step...
May 15, 2021 at 23:17 comment added jonk @seven If you wanted, I could write up a closed equation. But do you really want the math for that? The simplest 1st order equation for an LED has a forward voltage (for example 1.6 V) and a resistance (say 20 Ohms) as a model. At 20 mA, that yields an LED voltage of 2 V, for example. That model can be easily used with algebra to work out the details without iteration. But then it is way too simple, really. But a closed equation would involve LambertW() function. Not sure you care to go there.
May 15, 2021 at 19:35 comment added seven Ok, than I will follow your advice again, unaccept it, and wait a bit. Sorry.
May 15, 2021 at 19:15 comment added user57037 Thank you for accepting my answer. Usually it is a good idea to wait for a bit to accept an answer. You may want to unaccept it to see if anything better comes along. You can also change the accepted answer.
May 15, 2021 at 19:14 vote accept seven
May 15, 2021 at 19:35
May 15, 2021 at 19:10 history answered user57037 CC BY-SA 4.0