Planar Spiral Coil Calculator

Size compact spiral coils with practical electrical insight. Check inductance, resistance, capacitance, and safe current. Download results and compare examples before your layout review.

Calculator

Example Data Table

Shape Outer size Turns Width Spacing Estimated inductance
Square 40 mm 8 0.50 mm 0.25 mm 4.4532 µH
Circular 30 mm 6 0.40 mm 0.20 mm 1.7813 µH
Octagonal 50 mm 10 0.60 mm 0.30 mm 6.6486 µH

Formula Used

This calculator uses the current sheet approximation for planar spiral coils.

L = μ0 × N² × davg × c1 / 2 × [ln(c2 / ρ) + c3ρ + c4ρ²]

davg = (dout + din) / 2

ρ = (dout - din) / (dout + din)

The constants c1, c2, c3, and c4 change with the selected shape. Resistance uses conductor length, temperature corrected resistivity, and copper cross section. AC resistance adds a simple skin depth and proximity estimate.

How to Use This Calculator

  1. Select the nearest spiral shape for your layout.
  2. Choose the unit used for outer size, trace width, spacing, and lead length.
  3. Enter turns, copper thickness, frequency, current, material, and temperature.
  4. Press Calculate to place the result above the form.
  5. Download CSV or PDF when you need to store the design result.

Planar Spiral Coil Design Guide

A planar spiral coil is a flat winding made on copper foil. It is common in wireless power pads, RFID loops, sensors, and compact tuned circuits. The layout looks simple, but small geometry changes can move the inductance, resistance, and self resonant point. A calculator helps you test those changes before drawing the board.

Geometry Matters

Outer size, turn count, trace width, and spacing control the magnetic path. More turns normally raise inductance, because the field links the conductor many times. Wider copper lowers resistance, but it also reduces the open window when the outside size stays fixed. Narrow spacing increases fill ratio. That can raise inductance, yet it may also increase parasitic capacitance.

Electrical Limits

A coil is not only an inductor. It is also a resistor and a small capacitor. At low frequency, direct current resistance is often enough. At higher frequency, skin effect reduces the useful copper thickness. Proximity effect can add more loss when turns sit close together. Quality factor compares reactance with loss. A high value usually means a sharper tuned circuit and less heating.

Practical Use

Use the result as a layout estimate. Then check it with simulation or measurement. Board copper tolerance, plating, solder mask, vias, nearby metal, ferrite sheets, and temperature can change real performance. The formula works best for regular flat spirals with uniform pitch. Irregular shapes need stronger validation.

Design Tips

Start with the required inductance and the maximum board area. Choose a trace width that supports current without excessive temperature rise. Increase spacing when voltage, capacitance, or manufacturing rules demand it. Keep leads short, because leads add resistance and stray inductance. For power coils, inspect RMS current and copper loss. For resonant coils, compare operating frequency with the estimated self resonant frequency. Keep the operating point comfortably below resonance.

Review Workflow

Enter dimensions in one unit. Select the shape that best matches your layout. Set copper thickness, material, temperature, current, and frequency. Read inductance, resistance, reactance, Q, skin depth, power loss, and resonance together. Export the result when you need a design note or comparison sheet. Document assumptions beside exports. Future checks become easier. Engineers can review the same numbers months later with confidence.

FAQs

What is a planar spiral coil?

It is a flat conductor wound as a spiral. It is often etched on a circuit board or made from flat copper foil.

Which shapes are supported?

The calculator supports square, circular, hexagonal, and octagonal spirals. Each shape uses different constants in the inductance estimate.

Is the inductance result exact?

No. It is an engineering estimate. Real coils depend on copper tolerance, nearby metal, solder mask, ferrite, and measurement frequency.

How does trace width affect the result?

Wider traces lower resistance and heat. They also reduce the inner opening when the outside size and turn count stay fixed.

Why does quality factor matter?

Quality factor compares inductive reactance to loss. Higher Q usually means lower loss and a sharper resonant response.

What is self resonant frequency?

It is the approximate frequency where coil inductance resonates with parasitic capacitance. Above it, behavior may stop looking inductive.

Can I use this for wireless power?

Yes, for early estimates. For final wireless power work, validate with prototypes, thermal tests, and system level tuning.

Why export CSV or PDF?

CSV is useful for spreadsheets and comparisons. PDF is useful for reports, design reviews, and saved calculation records.

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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.