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Sheet Resistance Calculator — Ω/□ from Resistivity and Thickness

Enter the alloy resistivity, strip thickness and width to get sheet resistance (Ω/□), plus the length needed for a target resistance. Works for resistance ribbon, foil and any thin conductive strip.

Inputs

Typical 20 °C values. Actual values follow the mill certificate for each heat.
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Formulas

QuantityFormula
QuantityFormula
Sheet resistanceRs (Ω/□) = ρ (μΩ·m) ÷ t (mm) ÷ 1000
Resistance of a stripR (Ω) = ρ (μΩ·m) × L (m) ÷ [ w (mm) × t (mm) ]
Number of squaresN = L (mm) ÷ w (mm) → R = Rs × N
Length for target RL (mm) = R × w (mm) ÷ Rs
Unit check: ρ in μΩ·m, t in mm. Sheet resistance: 1.40 / 1.0 / 1000 = 0.0014 Ω/□. Strip resistance: 1.40 × 1 m ÷ (10 mm × 1.0 mm) = 0.14 Ω. Because sheet resistance is per-square, the physical size of the square does not matter.

Sheet resistance vs resistance

Sheet resistance RsResistance R
Sheet resistance RsResistance R
UnitΩ/□ (ohm per square)Ω
Depends onResistivity and thickness onlyResistivity, thickness, length and width
Changes with size?No — size independentYes — longer and narrower means more resistance
Typical useComparing foil / ribbon of different thicknessSizing an actual element

Resistivity reference (20 °C, typical)

AlloyFamilyρ (μΩ·m)Max temp.
AlloyFamilyρ (μΩ·m)Max service temp. (°C)
0Cr25Al5FeCrAl1.401300
0Cr21Al6NbFeCrAl (Nb)1.451350
0Cr27Al7Mo2FeCrAl (Mo)1.531400
1Cr13Al4FeCrAl (low Cr)1.25950
Cr20Ni80Ni-Cr1.091200
Cr30Ni70Ni-Cr1.181250
Cr15Ni60Ni-Cr-Fe1.121150
Cr20Ni35Ni-Cr-Fe1.041050
Constantan 6J40Cu-Ni0.49400
Manganin 6J12Cu-Mn-Ni0.45—
Pure nickel Ni200Ni0.096600
Pure nickel is not a heating material. With ρ ≈ 0.096 μΩ·m — about one tenth that of Cr20Ni80 — reaching a given resistance would require an impractically long wire. Pure nickel is used for conduction, corrosion resistance and battery tabs, not as a heating element.

FAQ

What is sheet resistance?
Sheet resistance (Rs, measured in Ω/sq or Ω/□) is the resistance of a square sheet of material, independent of the square size. For a thin strip or foil it equals resistivity divided by thickness: Rs = ρ / t. Because it is per-square, the same value applies whether the square is 1 mm or 1 m on a side.

What is the formula for sheet resistance?
Rs (Ω/□) = ρ (μΩ·m) ÷ t (mm) ÷ 1000. Example: 0Cr25Al5 with ρ = 1.40 μΩ·m at 1.0 mm thickness gives Rs = 1.40 / 1.0 / 1000 = 0.0014 Ω/□.

How do I get resistance from sheet resistance?
R (Ω) = Rs × L (mm) ÷ w (mm), where L is the current-path length and w is the width. For a strip, the number of squares is simply length divided by width.

Why does changing thickness change power?
Thickness changes both resistance and cross-sectional area, so at a fixed voltage the power changes. Halving the thickness roughly doubles the resistance and therefore roughly halves the power at constant voltage. Always recalculate after a thickness change.

Which alloys are used for resistance ribbon?
FeCrAl grades (0Cr25Al5, 0Cr21Al6Nb, 0Cr27Al7Mo2) for high-temperature heating elements; Ni-Cr grades (Cr20Ni80, Cr15Ni60, Cr30Ni70, Cr20Ni35) where ductility and thermal-fatigue resistance matter; Cu-Ni/Mn-Ni precision grades (Constantan 6J40, Manganin 6J12/6J13) for precision shunts and sampling resistors.

About Shanghai Xinxiang Alloy

Shanghai Xinxiang Alloy Materials Co., Ltd. (founded 2014) is a source manufacturer of electric heating alloys and nickel-based precision alloys, with an approximately 20,000 m² production base in Taixing, Jiangsu, 48+ pieces of melting / forging / rolling / drawing / heat-treatment / testing equipment, 200+ staff and about 7,500 t annual capacity.

We supply FeCrAl and Ni-Cr resistance ribbon and wire, pure nickel wire and strip (Ni200 / Ni201 / N4 / N6), precision resistance alloys (Constantan / Manganin), thermocouple materials and heat-resistant steel furnace parts. Wire φ0.03–10 mm; strip 0.05–3.5 mm × 2–300 mm.

Contact: +86 136 6174 5686 / +86 21 6911 6339 · Contact page

Resistivity values are typical at 20 °C and compiled from GB/T 1234, ASTM B344, DIN 17470/17471 and published manufacturer data sheets. Always verify against the mill certificate before finalising a design.