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Air-Cored Coil Calculator

Inductance Formula:

\[ L = \frac{D^2 N^2}{18D + 40l} \]

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cm

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1. What is an Air-Cored Coil Calculator?

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

Purpose: It helps electronics engineers, hobbyists, and students determine the inductance of solenoid coils without magnetic cores.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L = \frac{D^2 N^2}{18D + 40l} \]

Where:

Explanation: The formula accounts for the geometric relationship between the coil's physical dimensions and its resulting inductance.

3. Importance of Inductance Calculation

Details: Accurate inductance calculation is crucial for designing circuits involving filters, oscillators, transformers, and RF applications.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is an air-cored coil?
A: An air-cored coil is an inductor that uses air as its core material rather than ferromagnetic materials.

Q2: When would I use an air-cored coil?
A: Air-cored coils are used in high-frequency applications where core losses would be problematic, or where variable inductance is needed.

Q3: How accurate is this formula?
A: This provides a good approximation for single-layer solenoids. For multi-layer coils, more complex formulas are needed.

Q4: What's the typical range for air-cored inductors?
A: Air-cored inductors typically range from 0.1 μH to several millihenries, depending on size and turns.

Q5: Does wire gauge affect the calculation?
A: The formula doesn't include wire gauge, but in practice, gauge affects how many turns you can fit in a given length.

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