Inductance Solenoid Calculator
solenoid inductance calculator. Get instant, accurate results. Enter values for instant results with step-by-step formulas.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
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Formula: L = μ₀N²A/l
Worked example — 12.57 mH
L = μ₀N²A/l
Inductance of a solenoid. μ₀ = 4π×10⁻⁷ H/m.
Problem:N=1000, A=0.001m², l=0.1m
Solution:L=4π×10⁻⁷×10⁶×0.001/0.1=12.57 mH
Result:12.57 mH
Inductance (L) measures a coil's ability to store energy in a magnetic field and oppose changes in current. It is measured in Henries (H). Inductors are key components in filters, transformers, and oscillators.
Use L = μ₀N²A/l, where μ₀ = 4π×10⁻⁷ H/m is the permeability of free space, N is the number of turns, A is the cross-sectional area in m², and l is the solenoid length in meters.
Number of turns N is dimensionless, cross-sectional area A is in square metres (m²), solenoid length l is in metres (m), and the result L is in Henries (H). Practical values are often in millihenries (mH) or microhenries (μH).
Inserting a ferromagnetic core multiplies inductance by the relative permeability μᵣ of the material: L_core = μᵣ × L_air. Iron has μᵣ ≈ 200–5000, so a 1 mH air-core solenoid becomes up to 5 H with an iron core.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator · Editorial policy
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