Solenoid Inductance Calculator

Free calculate self-inductance of a solenoid coil. determine inductance using l = μ₀n²a/l for air-core solenoids.

Input Parameters

1 for air-core, higher for ferromagnetic cores

Results

Enter parameters to calculate inductance

Solenoid Inductance Formula

Formula

L = μ₀μᵣN²A / l

Where:

  • • L = inductance (H)
  • • μ₀ = 4π×10⁻⁷ H/m
  • • μᵣ = relative permeability
  • • N = number of turns
  • • A = cross-sectional area (m²)
  • • l = length (m)

Notes

  • • Assumes uniform field
  • • Valid for long solenoids (l >> r)
  • • μᵣ = 1 for air-core
  • • Higher μᵣ increases inductance

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