Arrghh...:( I'm showing an embarrassing amount of holes in my analog circuit theory. Now that I think about it more from posts.. This is text book based stuff from physics and basic electronics on the definition of capacitance.
Ok...how about this picture..(Geezz..this is so homeworkish..)
Cp is from a distribution of capacitors that exist between the loops all along the toroid core. Cp is out of the definition of capacitance. There's conductive plates...that's the wire separated by the distributed inductance. There's a voltage between the plates.. courtesy of the distributed inductance..... And there's the distributed dielectric..that's the air and wire insulation. All these capacitors are infinity distributed. All from a structure composed of materials that 'ideally' don't vary with f and V.
I'm not sure why I was thinking Cp could depend on voltage and frequency... I dunnoo..maybe I was thinking about how core materials behave with f and H and that it might influence Cp.
About that ultimate extension... You mean... Make a loop.. Then stretch the wire across the toroid core...make a loop Then stretch the wire across the toroid core..make a loop.. Repeat... Like that?
Damn that toroid is going to look like some sort of fish net.. I might try Googling for a picture..
D from BC