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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),

Where:

• μ0 = 4π×10-7
• 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) Results F (N) (LBS)