Resultant voltage function through two opposing coils with mutual inductance
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.