Coil Inductance Formula:
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Definition: This calculator computes the inductance of a coil based on its physical characteristics and core material properties.
Purpose: It helps engineers, students, and electronics enthusiasts determine the inductance of a coil for circuit design and analysis.
The calculator uses the formula:
Where:
Explanation: The inductance increases with more turns, larger cross-section, and higher permeability, but decreases with longer coil length.
Details: Accurate inductance calculation is crucial for designing filters, transformers, motors, and other electromagnetic devices.
Tips: Enter the permeability (default 1.256×10⁻⁶ H/m for air core), number of turns, cross-sectional area, and coil length. All values must be > 0.
Q1: What's a typical permeability value for air core coils?
A: The permeability of free space (air) is approximately 1.25663706212×10⁻⁶ H/m.
Q2: How does the number of turns affect inductance?
A: Inductance increases with the square of the number of turns (N²).
Q3: What units should I use for measurements?
A: Use meters for length and area (m²) for consistent results in henrys.
Q4: Can I use this for toroidal coils?
A: This formula is for solenoids. Toroids use a different formula accounting for their circular geometry.
Q5: Why is my calculated inductance so small?
A: Air core inductors typically have small values (microhenrys). For higher inductance, use ferromagnetic cores or more turns.