Magnetic induction for a tesla flat spiral coil

Telemachus
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Hi there. I have a current I running throught a tesla spiral coil, and I have to compute the magnetic field at the center of it. The tesla coil has N turns, and an inner radius a, and outer radius b.

This is the tesla spiral coil:
TeslaFlatSpiralCoil.png

The courrent enters through the outer cable, and goes out through the inner one.

I'm not sure on how to treat this problem. Should I consider the spiral coil as a flat disk with the courrent flowing from the outside to the inside?
 
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If so, I can use the Biot-Savart law to calculate the magnetic field at the center of the coil.If not, then I would need to consider the shape of the spiral, and how the current is distributed along the coil. This would require using the Ampère's law to calculate the magnetic field at the center of the coil.I hope this helps!
 

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