magnet formulas


Field Inside a Straight, Infinite, Air-Core Solenoid

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

Field due to an infinite solenoid

Field due to an infinite solenoid

B is the magnetic field inside the solenoid, in teslas. The direction of the field is parallel to the axis of the solenoid. There is no field outside the solenoid.

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

i is the current in the wire, in amperes.

n is the number of turns of wire per unit length of the solenoid, in 1/meters.


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