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.

Turns

Required integer input.

Cross-section area (m^2)

Required number input.

Length (m)

Required number input.

Calculate air-core solenoid inductance from turns, area, and length. 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]

Inductance (H)

The resulting inductance 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.

• Inductor Q at Frequency

  Calculate series-model inductor quality factor Q=2πfL/R from inductance and effective series resistance at the specified frequency. Core and skin-effect losses should be included in the supplied resistance.

• Rectangular Magnetic Path Length

  Estimate mean magnetic path length around a rectangular core centerline as 2(width+height). Use centerline dimensions, not external package dimensions; corners and air gaps are not corrected.