Flat Spiral Coil Resistance Calculator

Model flat spiral coils with practical inputs. Compare wire, trace, and temperature effects easily accurately. Download usable reports for fast electrical design review today.

Calculator Inputs

Formula Used

Circular spiral length: Ls = π × N × ((OD + ID) ÷ 2)

Square spiral length: Ls = N × 2 × (OD + ID)

Total length: Lt = Ls + 2 × lead length

Round wire area: A = π × (d ÷ 2)²

Rectangular trace area: A = width × thickness

Temperature resistivity: ρT = ρ20 × [1 + α × (T - 20)]

Resistance: R = ρT × Lt ÷ A

Voltage drop: V = I × R

Power loss: P = I² × R

How to Use This Calculator

  1. Select the conductor material.
  2. Choose circular or square flat spiral geometry.
  3. Select round wire or rectangular trace input.
  4. Enter inner size, outer size, and turns.
  5. Enter wire diameter or trace width and thickness.
  6. Add lead length for both terminals.
  7. Enter temperature, current, voltage, and safety factor.
  8. Press calculate, then download CSV or PDF when needed.

Example Data Table

Case Material Shape Inner Outer Turns Conductor Use
Small sensor coil Copper Circular 20 mm 80 mm 10 1 mm round wire Low resistance estimate
Board trace coil Copper Square 15 mm 70 mm 12 2 mm × 0.035 mm trace Printed design check
Heater spiral Nichrome Circular 25 mm 100 mm 14 0.6 mm round wire Power loss review

Flat Spiral Coil Resistance Guide

Overview

A flat spiral coil uses one continuous conductor. It turns outward on one plane. This shape appears in heaters, sensors, wireless pads, NFC coils, and printed boards. Resistance matters because it controls heat, voltage drop, current limit, and power loss. A small error can change performance.

Why Coil Resistance Matters

Every conductor has resistance. Long spirals have more length than they first appear. Tight spacing also increases the number of turns, so total length grows fast. The calculator estimates length from the inner size, outer size, and number of turns. It then applies material resistivity and temperature correction. The result helps you judge safe current, expected voltage drop, and power dissipation.

Key Inputs Explained

Choose round wire when using copper, aluminum, silver, nichrome, or custom wire. Enter the diameter and lead length. Choose rectangular trace when working with copper foil, etched boards, or flat strip. Enter width and thickness. The temperature field adjusts resistivity from the standard reference point. Copper resistance rises as temperature increases. Nichrome changes less, so heater designs can behave differently.

Design Tips

Keep units consistent. Measure the inner and outer dimensions across the coil path. Use the conductor centerline when possible. Add lead length because terminals can contribute meaningful resistance in low-ohm coils. Increase the safety margin for handmade coils, solder joints, bends, and hot spots. For high current designs, compare the power loss with the cooling method. Heat can raise resistance again, which changes the final operating point.

Practical Use

This tool is useful during early electrical design. It cannot replace lab measurement. Real coils may have coatings, bends, pressure contacts, surface roughness, and temperature gradients. These details create small differences. Still, the estimate is valuable. It shows whether a design is close to the target before material is cut or a board is ordered.

Better Decisions

Use the example table to test common cases. Export the result for records. Compare materials and dimensions. Adjust turns or conductor size until resistance, current, voltage drop, and power loss are acceptable. When accuracy is important, build one first sample. Measure resistance after the coil reaches working temperature. Compare the reading with the estimate. Then update the safety factor for future production batches.

FAQs

What is a flat spiral coil?

It is a coil wound on one plane. The conductor starts near the center and turns outward or inward. It is common in sensors, heaters, wireless charging pads, and printed circuit layouts.

Which resistance formula does this tool use?

It uses R = ρL/A. Length comes from the spiral geometry. Area comes from wire diameter or trace dimensions. Resistivity is corrected for the entered operating temperature.

Why does temperature change the resistance?

Most conductive materials change resistivity with temperature. Copper usually increases resistance as it gets hotter. The calculator applies the material temperature coefficient to estimate that change.

Should I include lead length?

Yes. Leads can add noticeable resistance, especially in low-ohm coils. Enter the length of one lead. The calculator adds two leads to the spiral length.

Can I calculate printed circuit coil resistance?

Yes. Select rectangular trace. Then enter trace width and copper thickness. For one ounce copper, a common thickness is about 0.035 mm.

What does the safety factor do?

It multiplies the calculated resistance. This gives a conservative design value. It helps account for material tolerance, bends, joints, heating, and measurement variation.

Is circular length exact for every spiral?

No. It is a strong engineering estimate based on average diameter. Very wide spacing, unusual layouts, or irregular winding may need detailed CAD path measurement.

Can this replace real measurement?

No. Use it for planning and comparison. Final products should be measured with a suitable meter, preferably at the expected working temperature.

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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.