Use this electronics calculation for a first-pass component, converter, signal, motor, or sensor estimate when the stated operating conditions and units match the device data.

Turn Count

Required integer input.

Current (A) (A)

Required number input.

Pole Area (m²) (m²)

Required number input.

Air Gap (m) (m)

Required number input.

Estimate ideal solenoid attraction across one air gap as μ0(NI)²A/(2g²); assumes negligible leakage, fringing, saturation, and iron reluctance. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Pull Force Newtons

The resulting pull force newtons returned as a number.

• Solenoid force and inductance change with gap, position, current, saturation, temperature, plunger geometry, spring load, friction, and drive waveform. Continuous and intermittent coil ratings and flyback protection must be checked.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check the result against the current datasheet and worst-case operating corners, then verify the circuit or measurement with simulation and bench testing where failure matters.

• Magnetic Air Gap Length

  Solve a simple magnetic-circuit inductance model for required air-gap length: lg=μ₀N²A/L−lc/μr. This treats fringing and leakage as negligible; a negative result means the requested inductance needs no positive gap under the model.

• Solenoid Force N

  Estimate the attraction force of a solenoid actuator from ampere-turns, gap, and pole area.

• Magnetic Reluctance

  Calculate lumped magnetic reluctance ℛ=l/(μ₀μrA) for a uniform material segment. Use separate segments in series/parallel for mixed core and air-gap paths.