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Helical Coil Size Calculator

Helical Coil Inductance Formula:

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

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turns
inches

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1. What is Helical Coil Inductance?

Helical coil inductance refers to the property of a helical (spiral) coil that opposes changes in electric current. It's a fundamental parameter in designing RF circuits, antennas, and inductive components.

2. How Does the Calculator Work?

The calculator uses the helical coil inductance formula:

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

Where:

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

3. Importance of Inductance Calculation

Details: Accurate inductance calculation is crucial for designing resonant circuits, impedance matching networks, and RF filters. It helps predict circuit behavior and optimize performance.

4. Using the Calculator

Tips: Enter radius and length in inches, number of turns as an integer. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the typical range for helical coil inductance?
A: Depending on dimensions, helical coils typically range from 0.1 µH to several hundred µH.

Q2: How does wire diameter affect the calculation?
A: This formula assumes thin wire. For thick wire, the actual inductance may be slightly lower due to reduced spacing between turns.

Q3: Is this formula accurate for air-core coils?
A: Yes, this is specifically for air-core helical coils. Adding a ferromagnetic core would increase inductance.

Q4: What's the optimal length-to-diameter ratio?
A: For maximum inductance, length should be approximately equal to the coil diameter (l ≈ 2r).

Q5: How does this compare to solenoid inductance formulas?
A: This formula is specifically for helical coils. Solenoid formulas may give different results for the same dimensions.

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