If I have an inductive coil generating AC voltage due to an oscillating magnetic field, is there a way to determine the current (or energy) being generated in the coil? Further, if a capacitor were placed in parallel, would the energy get transferred to the capacitor and create a decaying oscillation?
I know that the coil will generate a voltage to resist the changing magnetic field, but does that mean a current flows through the coil equal to the voltage divided by coil resistance? If so, would that current be in phase with the voltage, or 90 degrees out of phase?
I see a lot of high-level discussion of this topic related to tank circuits, LC oscillators, and inductive charging, but I am not sure where to find a more physics/electron-level explanation of this phenomenon.