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inductance

Air Core Flat Spiral Inductance

Calculate the inductance of an air core flat spiral coil in nanohenries.

The flat spiral air core inductor holds a prominent place, finding its application in various devices like Tesla generators, RFID tags, and proximity detectors. These inductors come in different planar spiral coil designs, such as square, rectangular, hexagonal, and octagonal, often used in high-frequency applications and integrated onto PCB as tracks.

The advantages of air core inductors are numerous, including a higher Q-factor, improved efficiency, enhanced power handling, and reduced distortion. However, they require more turns or larger coil sizes to attain a specific inductance value, leading to larger physical dimensions, lower self-resonance, and higher copper loss.

Understanding Air Core Flat Spiral Inductance

Design and Uses

These inductors are commonly found in proximity detectors, RFID tags, and the main coil of Tesla generators. In addition, they are present in:

  • Resonant circuits
  • Low pass filters
  • Antenna matching units
  • Crystal sets
  • Antenna traps
  • Wireless charger designs

Air Core Inductors

Air core inductors employ air as the core, as opposed to inductors wound on a bobbin constructed of ferromagnetic materials. This indicates that their inductance is independent of the current they carry and that they lack the ferromagnetic core characteristic of non-linearity in the magnetization curve.

Advantages and Disadvantages

Because they don't have core saturation and are linear, air core inductors are useful in some situations. To get a given inductance value, they need more and/or larger turns, which might result in larger coils, lower self-resonance, and higher copper loss at higher frequencies.

Characteristics

CharacteristicDescription
Inductance unaffected by currentUnlike ferromagnetic core inductors, these do not see a change in inductance in response to variations in current
No core lossNo energy loss from magnetic saturation since there is no ferromagnetic material present
Higher self-resonanceOften have a higher self-resonance frequency due to interwinding capacitance
Larger coils requiredFrequently need more turns and larger coils to obtain a given inductance value, which might increase copper loss

Design Considerations

ParameterEffect
Inner DiameterInfluences the self-resonance frequency and inductance value
Distance Between WindingsInfluences the self-resonance frequency and inductance value
Wire DiameterInfluences copper loss and the inductance value
Number of TurnsInfluences the self-resonance frequency and inductance value

Advantages and Disadvantages

AdvantagesDisadvantages
High frequency operation with minimal core lossHigher manufacturing cost than conventional inductors
Low power loss due to absence of core lossLimited inductance range — may not suit high inductance applications
Compact, lightweight design possibleSensitivity to environmental factors like humidity and temperature

Conclusion

Air-core flat spiral inductors are a special kind of inductor with notable benefits such as compact design, minimal power loss, and high frequency operation. They do, however, have certain drawbacks including increased cost and a limited inductance range. Design considerations and performance-influencing aspects must be taken into account while creating an Air Core Flat Spiral Inductor.

Use the online calculator below to assist in designing your next pancake-shaped flat spiral air core coil inductor. Inputs such as inductance, inner diameter, wire diameter, number of turns, and distance between windings are usually needed for these computations.

Formula

L=4.921×N2×(d1+d2)215d17d2×kL = \frac{4.921 \times N^2 \times (d_1 + d_2)^2}{15d_1 - 7d_2} \times k

where:

  • LL = Air Core Flat Spiral Inductance
  • NN = Number of turns
  • d1d_1 = Outer diameter
  • d2d_2 = Inner diameter
  • kk = Dimension factor — k=1k = 1 if unit is mm, k=0.0254k = 0.0254 if unit is mils

Inputs

Outer diameter of the spiral coil

Inner diameter of the spiral coil — must be less than outer diameter

Total number of turns in the spiral coil

Results

Inner diameter must be less than outer diameter
Air Core Flat Spiral InductancenHInductance of the flat spiral coil in nanohenries