Air Core Flat Spiral Inductance Calculator

Inductors are essential components in electrical circuits, used for various applications such as energy storage, filtering, and impedance matching. The air core flat spiral inductor is a specific type of inductor with unique characteristics. This tutorial will guide you through the concept of air core flat spiral inductors, explain the formula to calculate their inductance, and provide real-life examples of their applications.

 Dimensional units mm mils Outer diameter (d1) mm Inner diameter (d2) mm Number of turns (N)
 Air Core Flat Spiral Inductance (L) = nH

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Interesting Facts

• Air core flat spiral inductors are known for their low magnetic interference and high self-resonant frequency.
• These inductors can be constructed using thin conductive strips or wires wound in a flat spiral shape without a magnetic core.
• Air core flat spiral inductors find applications in high-frequency circuits, wireless power transfer, and RF systems.

The Formula

The formula to calculate the inductance (L) of an air core flat spiral inductor is as follows:

L = (μ₀ * N² * r²) / (9 * r + 10 * w)

where:

• L is the inductance in henries (H)
• μ₀ is the permeability of free space (approximately 4π * 10-7 H/m)
• N is the number of turns
• r is the radius of the spiral in meters (m)
• w is the width of the spiral in meters (m)

Example: Real-Life Application

Let's consider a real-life application to demonstrate the use of the Air Core Flat Spiral Inductance Calculator. Imagine you are designing a wireless charging system for smartphones. The system utilizes an air core flat spiral inductor as part of the transmitter circuit to generate a magnetic field for power transfer.

You have constructed an air core flat spiral inductor with a radius (r) of 5 centimeters and a width (w) of 2 centimeters. The inductor has 10 turns. To calculate the inductance of this spiral inductor, we can use the formula mentioned above:

L = (μ₀ * N² * r²) / (9 * r + 10 * w)

L = (4π * 10-7 * (10)2 * (0.05)2) / (9 * 0.05 + 10 * 0.02)

Calculating the expression:

L ≈ 3.35 microhenries (µH)

Therefore, the air core flat spiral inductor you have constructed has an approximate inductance of 3.35 µH.

Conclusion

The Air Core Flat Spiral Inductance Calculator provides a valuable tool for engineers and designers working with air core flat spiral inductors. By understanding the concept and utilizing the formula, you can calculate the inductance of these unique inductors accurately. This information is crucial in various applications, especially in high-frequency circuits, wireless power transfer systems, and RF systems.

The ability to calculate the inductance of air core flat spiral inductors allows engineers to optimize their designs, ensure proper functioning of circuits, and achieve desired performance characteristics. By utilizing the calculator, you can quickly determine the inductance based on the number of turns, radius, and width of the spiral, enabling precise calculations and informed decision-making.

Whether you are designing wireless charging systems, RF circuits, or any application that requires precise control of inductance, the Air Core Flat Spiral Inductance Calculator is an invaluable tool in your engineering toolkit. Understanding the inductance of air core flat spiral inductors empowers you to design efficient and reliable systems, contributing to advancements in wireless technology and high-frequency electronics.