Litz Wire Coil Calculator

Estimate litz winding behavior with clear electrical outputs. Enter coil, strand, frequency, and current data. Review resistance, inductance, loss, voltage, and coil Q instantly.

Advanced Litz Wire Coil Inputs

mm
mm
mm
kHz
A
°C
%

Example Data Table

Use case Turns Mean diameter Length Strand setup Frequency Current
Wireless power coil 20 60 mm 25 mm 120 × 0.08 mm 150 kHz 3 A
Resonant inductor 35 42 mm 38 mm 100 × 0.10 mm 100 kHz 2 A
HF choke winding 55 30 mm 45 mm 60 × 0.071 mm 250 kHz 1.2 A

Formula Used

Skin depth: δ = √(2ρ ÷ ωμ), where ω = 2πf.

Copper area: A = strand count × πd² ÷ 4.

Wire length: length = turns × √((πD)² + pitch²).

DC resistance: Rdc = ρL ÷ A.

Estimated AC resistance: Rac = Rdc × skin factor × proximity factor.

Wheeler inductance: L(µH) = r²N² ÷ (9r + 10l), using inches.

Quality factor: Q = XL ÷ Rac, where XL = 2πfL.

Copper loss: P = I²Rac.

How to Use This Calculator

  1. Enter the number of turns in the coil.
  2. Add the mean coil diameter and winding length.
  3. Enter strand diameter and total strand count.
  4. Add operating frequency and RMS current.
  5. Adjust temperature, packing, insulation, and permeability values.
  6. Use proximity allowance for extra high frequency loss margin.
  7. Press the calculate button to view results above the form.
  8. Download the result as CSV or PDF for records.

Understanding Litz Wire Coil Design

Litz wire helps reduce high frequency losses. It uses many small insulated strands. Each strand carries part of the current. The goal is lower skin effect loss. A coil still needs careful sizing. Turns, diameter, strand count, and strand size all matter.

Why Strand Size Matters

At high frequency, current crowds near conductor surfaces. This is called skin effect. Skin depth becomes smaller as frequency rises. A strand should often be near or below two skin depths. Smaller strands can help. They also raise strand count and cost. This calculator checks strand diameter against skin depth.

Resistance And Heating

Copper resistance grows with length and temperature. More turns increase total wire length. More copper area lowers resistance. Temperature also raises resistance. The calculator adjusts resistivity with a copper temperature coefficient. It then estimates direct current resistance. It adds skin and proximity allowances for an alternating current estimate.

Inductance And Quality Factor

The coil inductance is estimated with Wheeler's air core solenoid formula. It works best for normal single layer coils. Very short, shielded, ferrite, or multilayer coils need deeper modeling. The quality factor compares inductive reactance with ac resistance. A higher Q can mean lower loss. It can also narrow bandwidth.

Using Results In Real Builds

Use the output as an engineering estimate. Check winding fit before ordering wire. The occupied length value shows if turns can fit in one layer. A value above one hundred percent suggests overlap or multilayer winding. Review copper loss against cooling limits. Also compare voltage drop with your circuit margin.

Design Limits

Litz wire performance depends on twisting pattern. Real bundles have strand transposition, insulation, tension, and spacing effects. Proximity loss can dominate near other conductors. Magnetic cores can add loss and change inductance. Use lab measurements for final work. Measure resistance, temperature rise, and resonant frequency after winding.

Good Workflow

Start with target inductance and frequency. Choose a strand size from skin depth. Increase strand count for current capacity. Adjust turns and diameter for inductance. Then review loss, Q, and winding fit. Repeat the process until the coil meets electrical and physical limits. Document assumptions clearly. Save each trial, so later comparisons stay simple and traceable before selection.

FAQs

What is a litz wire coil?

A litz wire coil uses many insulated copper strands. The strands reduce skin effect and high frequency losses. It is common in resonant circuits, wireless power, transformers, and RF inductors.

Why does skin depth matter?

Skin depth shows how deeply current enters copper at a frequency. When strands are too thick, current crowds near their surfaces. Smaller strands usually reduce that loss.

Is this calculator suitable for ferrite cores?

It accepts relative permeability for rough estimates. Real ferrite designs also need core geometry, gap data, saturation limits, and core loss curves. Use manufacturer data for final design.

What is proximity allowance?

Proximity allowance adds extra loss for nearby turns and magnetic fields. It is a simplified margin. Actual proximity loss depends on winding layout, spacing, frequency, and strand transposition.

What does occupied length mean?

Occupied length compares total side-by-side bundle width with coil length. A value above one hundred percent suggests the winding may need more length or multiple layers.

Can I use this for multilayer coils?

You can use it for early estimates. Multilayer coils have more capacitance and proximity loss. Their inductance may differ from the simple solenoid approximation used here.

Why is AC resistance higher than DC resistance?

At high frequency, current distribution is not uniform. Skin effect and proximity effect increase effective resistance. Litz wire reduces these effects, but it does not remove them fully.

Should final designs be measured?

Yes. This calculator gives engineering estimates. Final coils should be tested for resistance, inductance, temperature rise, Q factor, and resonant behavior under real operating conditions.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.