So my question is about the type of relationship in a particular circuit. I would like to know if it is linear or something else like a power.
The circuit in question is a pair of adjacent, mutually inductive coils placed in OPPOSITE directions, and the discharge of a capacitor through them.
simulate this circuit – Schematic created using CircuitLab
With an initial voltage on the capacitor, what would the voltage function look like at Point A? (linear, summation of logs, etc.) What would the voltage function look like if a turns ratio of something other than 1:1 was used? (a mathematical explanation would also be appreciated.)
Best Answer
If there is perfect coupling between the two coils they will cancel out any inductance so it will act as if it has none. If it has no resistance either there will be a short across the capacitor.
In this ideal circuit there will be infinite current and no losses which does not give a meaningful result.
This type of inductor is typically called a common-mode choke and most devices powered from AC use them to minimize conductive interference.