FDNR Equivalent Inductor

Make it with series resistance of 15kohm value :/ wound 10H inductor of small diameter around size of (playing dice) even if have wire gauge of 0.04mm size and many turns whose hits 3k or even 4k have series resistance max 4500-5000 ohms. An electronic quivalent must be Better than real to be atractive as replacement n series resistance is major drawback so my question is . Is there a way to reduce this 15kohm resistance below 4500 ohm still maintain possibility of achieving high reactance values ?? I see that u use op amps in gyrator like connection. I'm not sjre but gyrators can have such possibility for more reliable simulation ?

The circuit to the left of the voltage source is equivalent to the circuit to the right of the voltage source. Those 15 K resistors were only chosen as placeholders. In fact the left most 15 K and 10 H components can be removed. The right side is the just the equivalent and the resistor can be changed freely. And feel free to calculate new H values from the equation :D

I haven't yet put much time into the study and experimentation of inductors (sorry secu), but from what I gather so far a value of 10Hanks is kindof a lot right? Why not simulate something more common, something more readily available?..

Because it is readily available so who want to simulate it XD and this is actually great that this electronic inductor can work with all kind of series resistance equivalent cuz those small high valued inductors are hard to get and costs somewhat few times more than equivalent very good higher voltage opamps . I frequently use more modern ways to apply inductance to my circuits than ferromagnetic armed wired coil solutions. Some are introducing this phenomenon better some not very acurately. Even ferromagnetical reactors are not perfect cuz this inductors have also hysteresy and remanence asisted and this phenmenons are good when u want to amplify something or construct magetic bistable switches but are completely useless and even unwanted in many aplications. Same is with negative impedance periods caused by energy storage. Sometimes u want only inductive impedance but without inductive reaction whose is caused by energy storing boosted by core and air cored solutins is not an option due not a big diameters cuz wire can be thin as uwant but amount of series equivalent resistance whose hits 10kohm at small sized air cored one henry refference choke used in most equipment for measure magnetic materials for their hysteresy loop and saturation points at low frequencies. This resistance is pain and i rework some equipment and actually search about equialent of such refference chokes of value 1 and 5 henry cuz those have too thin wire used to be able to wound such in ordinary coil wiring apparatus but require special precise machine and nowhere i get a laminated magnetic wire of 0.005 mm2 lol human hair is fatty elephant when u compare both

Sine about is this one henry is large value depends heavily from what point unlookin on. It was defined by most useful way. Means to give unitary values at most useful area where it is most frequently used means in range of commercial power frequencies and in power in ranges from tens of watts up to few kilowatts (a typical single house power consumption) to make it be very practical in calcultions so u not deal like in case of farads with values that have some insane much too low rates . At utility frequencies equivalent of one henry is a one microfarad. U must also know that inductance is mostly used in electrotechnical area like electric machines and transformers practically whole electroengineering is one big kmowledge mine about one thing called inductance cuz all engines and any other electromechanical equipment is based only on inductors and magnetics. No one thinks about us poor electronics and about radioamateurs that we also find inductance most usefull i many apps and we deal with somewhat damn high frequencies where this inductances have trully insanely low values not only as number used to measure but physically where those are hardly to even detect by precise equpmemt but frequently still are to high. It is somewhat different as in case of capacitance cuz Why this capacitance value was make milion times higher than inductance value no one knowns but u need to deal with something like multiply or divide by value of 0.000000x and u surely see that it is only obstacle . US. Engineers overcome this in simple way by simply define ( not officially) a one microfarad as unitary capacitance value like it will be a one farad and this not change anything but make calculus easier cuz u not need to deal with those zeros in documents like in europe where u must all perform with those zeros writed at all time u calculate something that have capacity and cant short this out cuz simply u can add them at same end to not deal with those all time. No ucan't in high schools exams from electroengi. or when u make some oficial documents u must write this silly zeros all time .

Btw sine as example u can have take a transformer model here. Not by pure luck it have just as default a 10henry of primar coil inductance value. Almost 95% small home used mains transformers in power ranges 15VA up to around 50VA (eqjivalent for watts is almost the same so u can think about them as 15 - 50 watts) have primary coil inductance value equal of 10henry where somewhat irrational things happens when powers are very low cuz frequently is stated that high H values make coil bigger and actualky ths is only true for inductors used in radioelectronics because as u take smallest transformer whose have as little ass 4 watts of rated power and is in size of machbox even smaller u will can't measure it's iductance value cuz u hit end of scale on your meter whose have it up to 100 henries lol cuz smallest used transformers can cross this rate easily and jt is also rarely to found transformer for power over 250watts to have primary larger than one henry. Power transformers have sometimes 400 500 mH only and as size grows inductance drops very rapidly. If uwant to make simple LC ringer at audio rates take small trafo use its primary with cap around 10-100 nF as oscillator tank and u can hook up directly a 8ohm speaker to secondary when t is rated between 5 up to 18 volts and u have electronic whistle (sine wave sounds like whistle )whose reacts on permament magnets and all sort of metal from distance by changing sound frequency whose will be in ranges around 800 up to 2khz so u will have simpliest metal detctor uncan build . Or with higher voltages used couple of leds, diodes and one big mkt cap over 10uF u can build simple shock excited lc tank ringer to see with bare eyes a LC tank oscillations !!! And believe me they looks strange when u consider that those mytical energy flow between cap and coil i resonance perform itself at your reality timeframe a weird feeling this cause . Almost no one sees them with bare eyes cuz those are by most simply consideredd as unreachable and even don't think bout trying .

An emulated L build with 2 opamp one C and some R..... Actually i don't see any practical use of it. I think this only good for excercise to learn whats possible and some sick teathers think its a cool thing to make a L out of a C..... Anyway its a good thing to have it on EC!

Ha ha that's awesome- never learn that in some stuffy classroom! I wanna try to build those- sounds like a fun project yielding entertaining results! Thanks for all that info Sec, I gotta bookmark for reference lol..

While we're on the subject: @Hurz, I respect your knowledge of electronics and your capacity for clever innovation, a has been shown in your posted circuits- but I also get a sense of rigidity. My viewpoint: nobody knows everything about anything- there is always more to learn and always someone out there who knows more than you (or me or sec or anybody). You say you can't see any practical application for a gyrator to serve as an inductor? I have, and not just in simulation. Please read on...

@Secuture- my Chua model has been complete for a long while now, but I've delayed posting it because I wanted first to find a reliable procedure everyone could follow to achieve chaotic excitation. I thought I had, then would try the same thing later and get different results. I was a little frustrated but not angry because I realized, these outcomes are more than probable, and likely inherent in chaotic function lol. Anyway, I don't like this circuit collecting dust and I would like to post it, and would ask of you and any others to give your comments and descriptions of it's operation. I trust that if you gave a little time to play with it, you would have a good chance at finding a solid procedure. I have such little experience, and simply don't know enough about these things yet. Any advice or encouragement is ofcoz, appreciated..

Sine, you probably got me wrong, it was more a question if there is a good reason to emulated a L. I like to learn new stuff. Really! I will try to understand this "chua model" thing.

Again Sine, I think you are a very kind and very, lets say, diplomatic person and i like that and give you my full respect. Its realy interessting how fast i got a picture from people here on EC. There is much more psychologie than i expected behind just a few circuits. Even much more than on FB or any other social platform. One can say my picture of you is wrong, and yes its definitive wrong, but i hope not totaly wrong, and i try to adapt it and correct it with every circuit and comment i see from you. And if my picture in your mind is getting bad, than please tell me in future as you did today ;-) Cheers, happy developing

Thank you hurz, for taking your time to offer that humble and honest reply. I am a beginner in the study of electronics, but I've had many years to study people and their social interactions, and have learned that it takes a certain level of maturity to put aside one's ego to accept constructive criticism. And give criticism constructively for that matter. With an open platform such as here on EC, I hope that most would have this understanding. We are, after all here to learn and expand our knowledge, and to share the knowledge we ourselves possess. I am just a beginner, but I strive to accomplish both..