Toroidal Inductance Formula:
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Definition: This calculator computes the inductance of a toroidal (doughnut-shaped) choke coil based on its physical dimensions and material properties.
Purpose: It helps electrical engineers and hobbyists design toroidal inductors for applications like power supplies, filters, and RF circuits.
The calculator uses the formula:
Where:
Explanation: The formula calculates inductance based on the core material's permeability, the square of the number of turns, and the logarithmic ratio of the toroid's dimensions.
Details: Accurate inductance calculation is crucial for designing efficient electromagnetic components with minimal flux leakage and optimal performance.
Tips: Enter the core permeability (default is μ₀ = 1.256×10⁻⁶ H/m for air), number of turns, toroid dimensions in meters. Ensure OD > ID.
Q1: What's a typical permeability value for ferrite cores?
A: Ferrite cores typically range from 1,000μ₀ to 15,000μ₀ (0.001256 to 0.01884 H/m).
Q2: Why does the formula use ln(OD/ID)?
A: The natural log accounts for the circular geometry and the non-linear distribution of flux in the toroid.
Q3: How does turn spacing affect the calculation?
A: This formula assumes tight, uniform winding. Spaced turns may require adjustments.
Q4: Can I use this for rectangular cores?
A: No, this formula is specific to toroidal geometries. Different formulas exist for other shapes.
Q5: What's the advantage of toroidal coils?
A: Toroids offer high inductance with minimal electromagnetic interference due to their closed magnetic path.