magnet formulas


Field Inside an Air-Core Toroid Coil

This simple formula can be derived directly from Maxwell’s fourth equation, or Ampere’s Law.

Field inside an air core toroid

Field inside an air core toroid

B is the magnetic field, in teslas. The direction of the field is tangent to a circle on a radius r (in meters) from the center of the toroid.

μo is the permeability constant (1.26x10-6 H/m)

i is the current in the wire, in amperes.

N is the total number of turns of wire in the toroid.


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