Induction stovetop design: am I using these equations correctly?

[nagyn]

TL;DR Summary

I am trying to make an induction stovetop using some magnet wire. I understand how induction stovetops work but am less confident on the math I've done to design one. Can you double-check that I'm approaching this correctly?

I've been told an effective induction stovetop needs to deliver about 1000W of power. I have magnet wire that can tolerate at most about 0.2A of current, and was planning on using a 60Hz wall outlet as my source (obviously I'll need to bring down the outlet current quite a bit).

So the energy stored in an inductor is given by:

E = 0.5*I²*L

Which I assume would be roughly the same energy transferred to the pot when on the stove. So the power delivered would be

P = E / t = E*(60 Hz)

Then substituting P = 1000W and I = 0.2A I get that L = 1.2mH.

Then given that L = μ₀*N²*A / ι , I find that I need a ratio close to

N²*A / ι = 952

So if I had a coil with 10 turns, the area would need to be about 10 times the length to deliver the power I need.

Am I doing this right? Did I mess up anywhere in my understanding?

 

[Tom.G]

Power in Watts = Volts * Amps
Watts / Amps = Volts
1000 / 0.2 = 5000V.

Sorry, I don't know of anyplace that has 5000 Volts at their wall outlets.