Temperature Coefficients of Resistance Materials

Comprehensive table of temperature coefficients for various materials used in electrical engineering

About Temperature Coefficients

Definition

The temperature coefficient (α) describes the change in resistance value when temperature changes relative to a reference temperature of 20°C.

Formula
\[R_T = R_{20}(1 + \alpha \times \Delta T)\]
α = Temperature coefficient (1/K)
Material Behavior
Positive α: Resistance increases with temperature (PTC)
Negative α: Resistance decreases with temperature (NTC)
Near zero α: Temperature stable materials
Practical Note

For copper and aluminum conductors, a rule of thumb is 0.4% per °C in the range 0°C to 50°C.

Temperature Coefficient Values at 20°C

Material Temperature Coefficient α (1/K) Type
Pure Metals
Aluminum (99.5%) +0.004 PTC
Lead +0.0042 PTC
Iron (pure) +0.00657 PTC
Gold +0.0037 PTC
Copper (99.9%) +0.00393 PTC
Nickel +0.006 PTC
Platinum +0.00392 PTC
Mercury +0.0009 PTC
Silver +0.0038 PTC
Tantalum +0.0033 PTC
Tungsten +0.0044 PTC
Alloys
Aldrey (AlMgSi) +0.0036 PTC
Beryllium Bronze (SnBe4Pb) +0.0005 PTC
Manganin (Cu84Ni4Mn12) ±0.00004 Stable
Constantan (CuNi44) ±0.00001 Stable
Isaohm ±0.000003 Stable
Brass (CuZn37) +0.0016 PTC
Soft Iron (4% Si) +0.0009 PTC
Steel C15 +0.0057 PTC
Non-metals & Semiconductors
Carbon -0.0005 NTC
Graphite -0.0002 NTC
Arc Carbon +0.0005 PTC
Germanium -0.048 NTC
Silicon -0.075 NTC

Additional Information

Practical Applications

  • Copper & Aluminum: Power transmission lines
  • Platinum: Pt100/Pt1000 temperature sensors
  • Manganin/Constantan: Precision resistors
  • Germanium/Silicon: NTC thermistors

Resistor Classifications

Standard Resistors

Commercial small-power resistors typically have temperature coefficients in the range of 0.0001 to 0.0002 (100ppm to 200ppm) per °C.

Precision Resistors

Precision resistors are in the range of 0.00005 (50ppm) per °C. Designated as TK50, TK100, etc. (Temperature Coefficient in ppm/°C).

Important Notes

Validity Range
  • Linear coefficient valid for ΔT ≤ 200K
  • Values may vary with material purity
  • Reference temperature: 20°C
Design Considerations
  • Use temperature-stable alloys for precision
  • Consider thermal compensation circuits
  • Account for self-heating in high-power applications

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