Calculating Magnetic Field of a Toroid Using Ampere's Law

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SUMMARY

The discussion focuses on calculating the magnetic field of a toroid using Ampere's Law. The correct formula derived for the magnetic field inside the toroid is B = μ₀NI/(2πr), where μ₀ is the permeability of free space, N is the number of turns, I is the current, and r is the radius from the center of the toroid. It is confirmed that the magnetic field outside the toroid is zero, affirming the properties of magnetic fields in closed loops.

PREREQUISITES
  • Understanding of Ampere's Law
  • Familiarity with magnetic field concepts
  • Knowledge of toroidal geometry
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the applications of Ampere's Law in different geometries
  • Learn about the magnetic field of solenoids
  • Explore the concept of magnetic field lines in toroidal structures
  • Investigate the effects of varying current on magnetic fields
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Physics students, electrical engineers, and anyone interested in electromagnetism and magnetic field calculations.

snipaj9696
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Use ampere's law to determine the magnetic field (a) inside and (b) outside a toroid, which is like a solenoid bent into the shape of a circle.

Here is my work..

IS MY WORK CORRECT?

a.) B(2PIr)=MoIenc

and I found that B=MoNI/2pir


b.) the magnetic field is 0 outside the loop
 
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Yes, you are correct.

For future reference we have Homework forums, for such questions where your query may receive more attention.
 

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