I have two coupled inductors through a core that provides better flux permeability, aka a transformer, I provide say 5v and 1000 amps AC to the primary loop, in my secondary loop I have a capacitor in series with the loop (of sufficient capacitance for given frequency in order for the reactive resistance to be negligible) will there be just as much current and voltage in my secondary loop? Assume that both loops have the same turns count and wire thickness so from a practical viewpoint a 1:1 traffo.

I am asking this because I'm making a device but in my case I have two coupled toroidal loops each consisting of a single loop of very thick conductor, both loops have a capacitor in series with the loop, the primary loop is an oscillator but I also need current induced in my secondary loop which I assume there will be.

provided the frequency is high, how could I calculate the losses in my air core transformer to know what percentage of my primary current will show up in my secondary side? I assume that copper losses and capacitive reactance losses will be negligible as my copper is short and thick and my capacitor will have sufficient capacitance and low ESR in order to present a 0.0...something ohms in the chain (hopefully)