1. What is an Air Wound Coil Inductance Calculator?

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

Purpose: It helps electronics engineers and hobbyists design air-core inductors for circuits, radios, and other electronic applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( L \) — Inductance in henrys (H)
• \( \mu_0 \) — Permeability of free space (4π×10⁻⁷ H/m)
• \( N \) — Number of turns
• \( r \) — Radius of the coil in meters
• \( l \) — Length of the coil in meters

Explanation: The formula approximates the inductance of a single-layer air-core solenoid, accounting for the coil's geometry.

3. Importance of Inductance Calculation

Details: Accurate inductance calculation is crucial for designing filters, oscillators, RF circuits, and impedance matching networks.

4. Using the Calculator

Tips: Enter the number of turns, coil radius, and coil length. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is μ₀ (mu-naught)?
A: It's the magnetic constant representing the permeability of free space (4π×10⁻⁷ H/m).

Q2: How accurate is this formula?
A: It provides a good approximation for single-layer air-core solenoids where length > 0.4×radius.

Q3: What if my coil has multiple layers?
A: This calculator is for single-layer coils. Multi-layer coils require more complex formulas.

Q4: Can I use centimeters instead of meters?
A: No, all length measurements must be in meters for consistent units with μ₀.

Q5: Why does inductance increase with turns squared?
A: Each turn contributes to the magnetic field and also links with the flux from all other turns.