Online Inductance Calculator: Solenoid Coil Inductance

Calculate Solenoid Coil Inductance

Please enter the number of turns (N).
Please enter the relative permeability (μᵣ).
Please enter the coil diameter (d).
Please enter the coil length (l).

Quickly calculate the inductance (L) of a solenoid coil using our free online tool. Understand how crucial parameters like the number of turns (N), coil dimensions (diameter and length), and the core material\'s relative permeability (μᵣ) affect the coil\'s ability to store energy in a magnetic field. Perfect for electrical engineers, electronics hobbyists, and students working on circuit design.

Formula:

The inductance (L) of a solenoid coil can be calculated using the following formula, assuming a uniform magnetic field within the coil:

L = (μ₀ * μᵣ * N² * A) / l

Where:

  • L = Inductance in Henries (H)
  • μ₀ = Permeability of free space (a constant, approximately 4π × 10⁻⁷ H/m)
  • μᵣ = Relative permeability of the core material (dimensionless, e.g., 1 for air/vacuum)
  • N = Number of turns in the coil
  • A = Cross-sectional area of the coil in square meters (m²), derived from the coil\'s diameter (A = π * (d/2)²)
  • l = Length of the coil in meters (m)

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