⚡ Electromagnetic Engineering
Inductance Calculator
Calculate inductance for different coil configurations and core materials.
Coil Configuration
Number of Turns (N)
turns
Total number of coil turns
Coil Diameter
m
Diameter of the coil
Coil Length
m
Length of the coil (axial direction)
Core Material
Core material affects inductance (μr)
Inductance
0%
Inductance (L)
0 H
calculated inductance
Relative Permeability
1.00
Number of Turns
0
Coil Geometry
Single Layer
Core Material
Air
📐 Inductance Formulas
L = (μ₀ × μr × N² × A) / ℓ
Solenoid Inductance
L = (μ₀ × N² × A) / ℓ
Air Core Inductance
L = (μ₀ × N² × π × r²) / ℓ
Single Layer Coil
μ = μ₀ × μr
Absolute Permeability
📊 Calculation Breakdown
| Parameter | Value | Symbol |
|---|
How the formula works
L = (μ₀ × μr × N² × A) / ℓ | μ₀ = 4π × 10⁻⁷ H/m
- μ₀ = Permeability of free space (4π × 10⁻⁷ H/m)
- μr = Relative permeability of the core material
- N = Number of turns
- A = Cross-sectional area of the coil (π × r²)
- ℓ = Length of the coil in meters
- L = Inductance in Henrys (H)