To build electrical circuits, we need basic electrical elements. Unfortunately, there are only three natural electrical elements - a resistor, a capacitor and an inductor. That is why, in electronics, we have invented a variety of clever and sophisticated techniques to create additional artificial (virtual) elements. Like illusionists, we convert imperfect passive circuits into perfect active ones (virtual ground configuration)... or we swap their inputs and outputs (negative feedback)... or we, like magicians, transmute the passive circuits into their opposite mirror doubles (negative impedance)... or we even apparently violate natural laws (amplification)...

Following this chain of ideas, can we do another "magic" - swap the voltage across and the current through electrical elements? Thus we will obtain new useful virtual elements and will enlarge the family of the virtual elements in electronics...

We have already touched this topic in the question about the "reversal phenomenon" in the negative feedback systems

https://www.researchgate.net/post/Can_we_reverse_swap_the_input_and_output_of_any_unidirectional_device_by_applying_a_negative_feedback_If_yes_what_will_be_the_use_of_this_trick?

I have discused this technique in the Wikipedia talk page below (under the user name Circuit dreamer); you can use it as a starting point of thinking:

http://en.wikipedia.org/wiki/Talk:Gyrator#Demystifying_gyrator_circuits

I have also built it, step-by-step, with my students, in Circuit Idea wikibook (under the user name Circuit-fantasist):

http://en.wikibooks.org/wiki/Talk:Circuit_Idea/Demystifying_gyrator_circuits

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