Home Back

Air Core Coil Calculator

Inductance Formula:

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

inches
turns
inches

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is an Air Core Coil Calculator?

Definition: This calculator estimates the inductance of an air-core coil based on its physical dimensions and number of turns.

Purpose: It helps electronics engineers, hobbyists, and students design and analyze air-core inductors for various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula calculates the inductance based on the coil's physical dimensions, with the numerator representing the turns and size, and the denominator accounting for the coil's geometry.

3. Importance of Air Core Coil Calculation

Details: Accurate inductance calculation is crucial for designing RF circuits, filters, antennas, and other electronic components where precise inductance values are required.

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 an air core coil?
A: An inductor that uses no magnetic core material, just air, resulting in lower inductance but higher Q factor and better high-frequency performance.

Q2: When would I use an air core coil?
A: In high-frequency applications (RF circuits, antennas) where core losses would be problematic, or when linearity is important.

Q3: How accurate is this formula?
A: It provides a good approximation for single-layer coils with length greater than 0.4 times the radius.

Q4: What if my coil is multi-layer?
A: This formula is for single-layer coils. Multi-layer coils require more complex calculations.

Q5: Can I use metric units?
A: The formula is designed for inches. Convert metric measurements to inches (1 inch = 25.4 mm) before calculation.

Air Core Coil Calculator© - All Rights Reserved 2025