Single Layer Coil Calculator

Single Layer Coil Inductance Formula:

\[ L = \frac{r^2 \times N^2}{9r + 10l} \]

Inductance (L): μH

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1. What is a Single Layer Coil Calculator?

Definition: This calculator estimates the inductance of a single-layer air-core coil based on its physical dimensions.

Purpose: It helps electronics engineers, hobbyists, and students design coils for circuits, antennas, and RF applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L = \frac{r^2 \times N^2}{9r + 10l} \]

Where:

\( L \) — Inductance in microhenries (μH)
\( r \) — Radius of the coil in inches
\( N \) — Number of turns
\( l \) — Length of the coil in inches

Explanation: The formula approximates the inductance of a single-layer air-core coil based on its physical dimensions.

3. Importance of Coil Inductance Calculation

Details: Accurate inductance calculation is crucial for designing resonant circuits, filters, and antenna systems.

4. Using the Calculator

Tips: Enter the coil radius in inches, number of turns, and coil length in inches. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the accuracy of this formula?
A: This formula provides reasonable accuracy for single-layer air-core coils with length-to-diameter ratios between 0.2 and 10.

Q2: Can I use this for multi-layer coils?
A: No, this calculator is specifically for single-layer coils. Multi-layer coils require different formulas.

Q3: What units should I use?
A: All dimensions must be in inches for this formula to work correctly.

Q4: How does wire gauge affect the calculation?
A: Wire gauge primarily affects the coil length (l). The formula assumes the wire thickness is small compared to the coil dimensions.

Q5: What if my coil has a ferrite core?
A: This formula is for air-core coils. Ferrite cores significantly increase inductance and require different calculations.