How to find direction of mangetic field created by current

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SUMMARY

The direction of the magnetic field (B) created by a toroid can be determined using the right-hand rule. When wrapping your hand around the toroid with your thumb pointing in the direction of the current, your fingers will indicate the direction of the magnetic field. Inside the coil, the magnetic field flows in one direction, while outside, it flows in the opposite direction. This method is essential for understanding the magnetic field's behavior in toroidal configurations.

PREREQUISITES
  • Understanding of magnetic fields and their properties
  • Familiarity with the right-hand rule for magnetic fields
  • Basic knowledge of toroidal inductors and their construction
  • Concept of symmetry in magnetic field distribution
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  • Research the application of the right-hand rule in different electromagnetic contexts
  • Explore the mathematical derivation of magnetic fields in toroidal structures
  • Learn about the effects of current direction on magnetic field orientation
  • Investigate practical experiments involving toroids and magnetic field visualization
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Students of physics, electrical engineers, and anyone interested in electromagnetism and the practical applications of magnetic fields in toroidal systems.

sparkle123
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how to find direction of magnetic field created by toroid

I don't understand how to find the direction of B resulting from a toroid. In the following example from my textbook, the direction of B is found by symmetry arguments are used. (I highlighted this in yellow). Could someone please explain?
Thanks!

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The symmetry argument does not address direction; it merely means the field is the same all around the loop because rotating the loop a few degrees does not change the situation.

The direction is determined by the hand rule. This page has it in the very first diagram:
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfie.html#c1
I urge you to find a piece of wire and make a toroid. Then choose a spot on it and wrap your hand around it with your thumb in the direction of the current. Your fingers indicate the direction of the B field. It will go one way inside the coil, the opposite way outside it.
 
Thanks! :)
 

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