Solenoid Inductance Calculator

Calculate Solenoid Inductance

Please enter a valid number of turns.
Please enter a valid coil length.
Please enter a valid coil diameter.
Common values: Air/Vacuum (1), Iron (200-5000), Ferrite (20-5000), Mu-metal (20000-100000).
Please select or enter a valid relative permeability.

Unlock precise calculations for your solenoid designs with our free Solenoid Inductance Calculator. Accurately determine the inductance of any coil by inputting key parameters like number of turns, coil length, diameter, and core material's relative permeability. Perfect for students, engineers, and hobbyists in electronics and electrical engineering.

Formula:

The inductance (L) of a solenoid can be calculated using the following formula:

L = (μ * N2 * A) / l

  • L = Inductance in Henries (H)
  • μ = Absolute permeability of the core material (H/m). This is calculated as μ = μ₀ * μᵣ, where:
    • μ₀ = Permeability of free space (approximately 4π × 10-7 H/m)
    • μᵣ = Relative permeability of the core material (unitless)
  • N = Number of turns in the coil (unitless)
  • A = Cross-sectional area of the coil in square meters (m²). For a circular coil, A = π * r², where r is the coil radius in meters.
  • l = Length of the coil in meters (m)

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