Inductance Calculator

Calculate the inductance of a solenoid from turns, length, cross-section area, and core permeability using L = μ₀μᵣN²A/l.

Number of Turns

Solenoid Length

Cross-Section Area

sq ft

Relative Permeability (μᵣ)

Tab to move between fields

Inductance

125.66

UnitμH

Reactance at 60 Hz0.05 Ω

Reactance at 1 kHz0.79 Ω

How to Use This Calculator

Enter Number of Turns, Solenoid Length, and Cross-Section Area.
Set Relative Permeability (μᵣ).
Review the Inductance result.
Use Unit and Reactance at 60 Hz (Ω) to inform your decision.
Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Number of Turns

Number of Turns: Total number of wire turns in the solenoid coil.
Solenoid Length: Length of the solenoid (not the wire length).
Cross-Section Area: Cross-sectional area of the solenoid core. For a circular core of radius r: A = πr².
Relative Permeability (μᵣ): Relative permeability of the core material. Air/vacuum = 1, iron ≈ 200–5000, ferrite ≈ 1000–10000.

Identify Input Parameters
4 parameters
Number of Turns = 100, Solenoid Length = 0.1, Cross-Section Area = 0.001, Relative Permeability (μᵣ) = 1 = 4 input(s) provided
Calculate Inductance
Inductance = l
125.6637 = 125.6637
Calculate Unit
Unit = displayUnit
μH = μH
Calculate Reactance at 60 Hz
Reactance at 60 Hz
0.0474 = 0.0474