Magnetic induction for a tesla flat spiral coil

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SUMMARY

The discussion focuses on calculating the magnetic field at the center of a Tesla flat spiral coil with N turns, an inner radius a, and an outer radius b. The participants debate whether to treat the coil as a flat disk with current flowing from the outside to the inside, which would allow the application of the Biot-Savart law, or to consider the spiral shape and current distribution, necessitating the use of Ampère's law. Both methods are valid, but the choice depends on the specific configuration of the coil and the desired accuracy of the magnetic field calculation.

PREREQUISITES
  • Understanding of Biot-Savart law for magnetic field calculations
  • Familiarity with Ampère's law and its applications
  • Knowledge of Tesla coil design and operation
  • Basic principles of electromagnetism and magnetic fields
NEXT STEPS
  • Research the application of Biot-Savart law in calculating magnetic fields for different coil geometries
  • Study the implications of current distribution in spiral coils on magnetic field strength
  • Explore advanced topics in electromagnetic theory related to Tesla coils
  • Learn about numerical methods for simulating magnetic fields in complex coil designs
USEFUL FOR

Electrical engineers, physicists, and hobbyists interested in Tesla coil design and magnetic field calculations will benefit from this discussion.

Telemachus
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Hi there. I have a current I running through 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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