In a circuit like this:-
Where there is a 1:1 ratio on the transformer, the AC waveform on the dot ends of the two windings are very similar. My question is how much effect does the capacitor between those two points have? If the capacitor has little effect, there is a larger AC component of the winding current, so more heating. I am not quite sure how to calculate how big the capacitor has to be, or how the AC current in it can be calculated.
Any ideas, anyone?

Where there is a 1:1 ratio on the transformer, the AC waveform on the dot ends of the two windings are very similar. My question is how much effect does the capacitor between those two points have? If the capacitor has little effect, there is a larger AC component of the winding current, so more heating. I am not quite sure how to calculate how big the capacitor has to be, or how the AC current in it can be calculated.
Any ideas, anyone?