Solenoid (Electromagnet) Force Calculator

This calculator computes the force between a solenoid and another piece of ferromagnetic material separated by a gap of distance g.

F = (Fm)2 μ0 A / (2 g2)

F = (N*I)2 μ0 A / (2 g2),


  • μ0 = 4π10-7
  • F is the force in Newtons
  • N is the number of turns
  • I is the current in Amps
  • A is the area in length units squared
  • g is the length of the gap between the solenoid and a piece of metal.

Note, any units can be used for A and g so long as they are consistent. For example, in2 and in, or m2 and m, respectively.

Solenoid Force Calculator
I (Current In Amps.) (A)
N (turns)
A (Length units2)
g (Length units)
F (N) (LBS)
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