Tesla coils / Toroidal inductor flux

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SUMMARY

The discussion centers on the principles of magnetic flux and induced voltage in toroidal inductors, specifically how the time derivative of magnetic flux relates to induced voltage. Participants clarify that while traditional understanding suggests no flux through the coils due to their parallel alignment with the magnetic field, induced voltage can still occur due to the Lorentz force when a magnet is moved near the toroid. The conversation also compares the efficiency of toroidal inductors to solenoids, highlighting the unique characteristics of toroidal designs in electromagnetic applications.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Familiarity with the Lorentz force and its implications in electromagnetism
  • Knowledge of toroidal inductor design and functionality
  • Basic principles of magnetic fields and flux
NEXT STEPS
  • Study the mathematical derivation of Faraday's Law in relation to toroidal inductors
  • Research the efficiency differences between toroidal inductors and solenoids
  • Explore practical applications of wireless power transmission using Tesla coils
  • Investigate the effects of varying magnetic field strength on induced voltage in inductors
USEFUL FOR

Electromagnetic engineers, physics students, hobbyists interested in wireless power transmission, and anyone exploring the efficiency of inductive components in electrical engineering.

elegysix
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I've been reading up on tesla's wireless power transmission lately, and I've been wondering how magnetic flux through the center of a toroid induces a voltage in its coils. From what I understand, the time derivative of magnetic flux through a loop is proportional to the induced voltage, however; in this case, the coils will be parallel to a field passing through the center of the toroid - meaning no flux through any of the coils.

But what I've read about these toroid inductors suggests that there is an induced voltage. Could someone explain this?

Also, how does the induced voltage compare to that of a solenoid with an equal number of turns? i.e. is the toroid more efficient / effective?

thanks!
 
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Are you talking about a toroidal transformer? Well the changing magnetic field will create an E field that is in the direction of the current. What is creating your B field? And what direction is it.
 
here's a picture of what I mean.
I don't mean to have two sets of coils as in a transformer, but a single set of coils around the loop.
The B field could be from whatever... let's just suppose I'm moving a magnet around, outside the loop.
4sfp68.jpg
 
If your moving the magnet, the free electrons in the coil will experience a Lorentz force.
 
Is there no simple relation like with a solenoid, where emf=N*d(Phi)/dt and Phi is the magnetic flux through the toroid?
 
you can calculate it with Faraday's law but i was just giving you a physical picture. when you move the magnet they move because of the Lorentz force not because of an induced E field.
 

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