Help Reversing Engineer Induction Stove - Faraday & Joule Laws

[joejake]

I have an assignment where I have to reverse engineer the induction stove.

I know that this device works by having a changing magnetic field created by putting an ac current through coils of wire. The magnetic field induces a current in any magnetic pots or pans placed on the stove on top of the coils. The pots and pans have internal resistance so there is power loss in the form of thermal energy which heats the pot up.

I know that Faraday's Law of Induction is involved in the induction of the current in the pan. Also, Joules Law is related to the generation of heat energy.

My problem is that I cannot link these concepts to any mathematical equations in order to explain the principles behind the stove.

I would be really grateful if anyone can give me any help or point me in the right direction.

Thanks in advance.

 

[NoTime]

Try researching transformers in an AC circuits text.
Of course the idea with transformers is to minimize heating, but the principles involved are the same.

 

[GENIERE]

... and you would use higher frequencies then the typical 50-60hz.

 

[CharlesP]

In a levitation casting apparatus a coil of about four turns and two inches diameter provides the magnetic field which levitates a sample of metal about an inch in diameter. The same eddy currents in the metal which levitate it also heat it in the vacuum chamber to white hot. Let's see del cross E = - partial of B with t. And del cross H = J. That's all the equations I need. I think f=~ 27MHz so that the RF noise will fall in the CB. The power is some kW.