Inductance Formula:
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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.
The calculator uses the formula:
Where:
Explanation: The formula accounts for the geometric relationship between the coil's physical dimensions and its resulting inductance.
Details: Accurate inductance calculation is crucial for designing circuits involving filters, oscillators, transformers, and RF applications.
Tips: Enter the coil diameter in cm, number of turns, and coil length in cm. All values must be > 0.
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.