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Solenoid (Electromagnet) Force Calculator

See our other Electronics Calculators.

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)
(Length units2)
g (Length units)

F (N) (LBS)


Daycounter provides contract engineering services. Please contact us if you would like a quote to out-source your next engineering project. 

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