Is the B Field Constant Inside a Toroid?

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SUMMARY

The magnetic field (B field) inside a toroid is not constant; it varies with the radius. According to Ampère's Law, the relationship is defined as B(2πr) = μ₀NI, where N represents the number of turns and μ₀ is the permeability of free space. The field strength is stronger on the inner edge of the toroid and weaker on the outer edge, confirming that the B field changes within the structure.

PREREQUISITES
  • Understanding of Ampère's Law
  • Familiarity with magnetic fields and their properties
  • Knowledge of toroidal geometry
  • Basic concepts of electromagnetism
NEXT STEPS
  • Study the applications of Ampère's Law in different geometries
  • Explore the concept of magnetic field strength in various shapes
  • Learn about the effects of permeability in different materials
  • Investigate the design and function of toroidal inductors
USEFUL FOR

Physics students, electrical engineers, and anyone interested in electromagnetism and magnetic field behavior in toroidal structures.

cragar
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Is the B field constant inside a toroid?
Like we would just use amperes law to find.
B(2*pi*r)=(mu_0)NI
But after talking to this kid he said it changes inside. But i thought it was constant.
 
Last edited:
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cragar said:
Is the B field constant inside a toroid?
Like we would just use amperes law to find.
B(2*pi*r)=(mu_0)NI
But after talking to this kid he said it changes inside. But i thought it was constant.

Where N is the numbers of turns ?
Didn't think the question was hard . Just not sure if s is fixed .
 
Its ok i figured it out . The field inside the toroid does vary with the radius, stronger on the inside edge and weaker on the outer edge .
 

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