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Inductance Calculator
Calculate inductance of coils and inductors
Inductance Formulas

Voltage Method

L = V / (dI/dt)

Flux Linkage Method

L = N × Φ / I

Solenoid Formula

L = (μ₀ × μᵣ × N² × A) / l

Core Material Permeability
Air / Vacuumμᵣ = 1
Ferrite (typical)μᵣ = 2,000
Iron (pure)μᵣ = 5,000
Silicon Steelμᵣ = 4,000
Nickelμᵣ = 600
Cobaltμᵣ = 250
Unit Conversions

1 H = 1,000 mH = 1,000,000 µH = 1,000,000,000 nH

μ₀ (vacuum permeability) = 4π × 10⁻⁷ H/m

What is Inductance?

Inductance is a property of an electrical conductor that opposes changes in current. When current flows through a conductor, it creates a magnetic field around it. If the current changes, the magnetic field also changes, which induces a voltage (electromotive force) that opposes the change in current. This property is known as self-inductance, measured in Henrys (H).

Inductors are fundamental components in electronic circuits, used in filters, transformers, energy storage, and power conversion applications. The inductance of a coil depends on its physical dimensions, the number of turns, and the magnetic properties of its core material.

Calculation Methods Explained

Voltage Method: Uses the fundamental relationship V = L × (dI/dt), rearranged to find inductance. This method is useful when you can measure the voltage across an inductor and the rate of current change.

Flux Linkage Method: Based on the definition L = NΦ/I, where N is the number of turns, Φ is the magnetic flux through each turn, and I is the current. This method is useful for theoretical calculations.

Solenoid Formula: Calculates inductance from physical dimensions using L = μN²A/l. This is the most practical method for designing inductors, as it relates inductance directly to coil geometry and core material properties.

Disclaimer

Inductance calculations are estimates based on ideal formulas. Actual inductance may vary due to coil construction, core material, winding density, and environmental factors. Consult component datasheets or an electrical engineer for precise measurements.

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