I have a cast iron wok and an induction hob. My understanding is that a ~24kHz AC in the hob's coil causes heating in the wok due to eddy currents from the varying magnetic field.
Sadly, the iron needs to be very close to the coil to work, and as such only the bottom part of the wok gets heated. I would like to heat a bit more than just a small part in the middle, and also be able to take advantage from the 'boost' ring which is otherwise out of reach of the wok. The basic idea is schematically depicted below, but I would like some advice on whether this topology would work, and if there are any additional considerations given the relatively high frequency.
The idea is to have a pancake coil wound of Litz wire placed just above the induction hob's 'boost' ring. This would be connected to a second, conical pancake coil (also made from Litz wire keeping in mind the skin effect) that is positioned very close to the pan to heat it inductively (while keeping the coil relatively cool).
Does the winding direction of the 'second' coil matter? My intuition was to place it reversed w.r.t. the bottom ring to 'push' the magnetic field more in the pan, but perhaps this actually reduces the efficiency by reducing the induction and thus the current? Should I worry about any side effects? (I presume the cooker works as an oscillating tank circuit, so perhaps a secondary coil would mess up the expected inductance of the circuit)