Temperature Coefficient of Resistance, Copper

\alpha_{R,\mathrm{Cu}} = 0.00393\ \text{1/K}

Value	0.00393 1/K
Status	Measured: ± 0.00005 1/K (0.013 relative)
Source	IEC 60028 / IEEE Std 112
Categories	Material Properties Engineering & Trade

Temperature Coefficient of Resistance, Copper in every thermal expansion coefficient unit

part per million per kelvin	3,930 ppm/K
part per million per Celsius degree	3,930 ppm/°C
part per million per Fahrenheit degree	2,183.3333 ppm/°F
microinch per inch per Fahrenheit degree	2,183.3333 μin/(in·°F)
percent per Celsius degree	0.393 %/°C
percent per Fahrenheit degree	0.21833333 %/°F
per kelvin	0.00393 1/K
per Celsius degree	0.00393 1/°C
per Fahrenheit degree	0.0021833333 1/°F
per Rankine degree	0.0021833333 1/°R

Learning zone

Copper resistance follows R_T = R_20 [1 + α(T − 20)] with α = 0.00393 /K. Warm a winding from 20 °C to 75 °C and its resistance rises 21.6 %; run it to 130 °C class-H insulation temperature and it is up 43 %. This is why the same motor draws different current hot and cold, why voltage drop on a fully loaded feeder is worse than the cold calculation, and why the resistance method (IEEE 112) can infer average winding temperature without a sensor anywhere in the machine.

The reference temperature is part of the constant: quoted against 0 °C, copper's coefficient is 0.00427 /K, and the two are frequently confused. Aluminium's is 0.00403 /K at 20 °C, close enough that mixed installations behave similarly. Manganin and constantan exist precisely because their coefficients are near zero — that is what makes a precision shunt resistor stable. And note that the coefficient is unit-shaped like a thermal expansion coefficient (per kelvin) but describes something entirely different: it is the fractional change in resistance, not in length.

Used by 2 solvers

Conductor Resistance Temperature Correction

R_{2} = R_{1} \left[ 1 + \alpha (T_{2} - T_{1}) \right]

Resistance of a Wire (R = ρL/A)

R = \frac{\rho L}{A}