Calculator

Coil Design Estimator

Estimate solenoid coil parameters from workpiece dimensions — coil inductance, coupling factor, impedance, and cooling requirements. A starting point for coil design, not a replacement for detailed electromagnetic simulation.

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Coil Estimator

Solenoid Inductance
L = μ₀ · N² · πr² / l
1 Coil Geometry
2 Workpiece & Gap
mm
mm
3 Coil Dimensions
mm
turns
4 Operating Frequency
5 Required Power
kW
Coil Cross-Section
Results
⚙
Enter workpiece OD, coil length and turns
to estimate coil parameters.
How it works
  • L = μ₀ · N² · πr² / l (solenoid formula)
  • Kn = Nagaoka correction for short coils
  • k = (ODwp / IDcoil)² coupling factor
  • XL = 2πfL reactive impedance
  • η estimated from gap / coupling quality
  • Cooling: Q = Ploss / (4186 · ΔT · 60)