Temperature, TCR Coefficient and Electrical Resistance Change Calculator

Calculate Temperature & Resistance Change Parameters
Select Answer Mode	T0 T1 αR R0 R1
Start Temperature (T0) [?]
⟳ Select temperature unit degrees Celsius (°C) degrees Fahrenheit (°F) kelvins (K) degrees Rankine (°R) yoctokelvins (yK) zeptokelvins (zK) attokelvins (aK) femtokelvins (fK) picokelvins (pK) nanokelvins (nK) microkelvins (µK) millikelvins (mK) centikelvins (cK) decikelvins (dK) kelvins (K) decakelvins (daK) hectokelvins (hK) kilokelvins (kK) megakelvins (MK) gigakelvins (GK) terakelvins (TK) petakelvins (PK) exakelvins (EK) zettakelvins (ZK) yottakelvins (YK)
End Temperature (T1) [?]
Select temperature unit degrees Celsius (°C) degrees Fahrenheit (°F) kelvins (K) degrees Rankine (°R) yoctokelvins (yK) zeptokelvins (zK) attokelvins (aK) femtokelvins (fK) picokelvins (pK) nanokelvins (nK) microkelvins (µK) millikelvins (mK) centikelvins (cK) decikelvins (dK) kelvins (K) decakelvins (daK) hectokelvins (hK) kilokelvins (kK) megakelvins (MK) gigakelvins (GK) terakelvins (TK) petakelvins (PK) exakelvins (EK) zettakelvins (ZK) yottakelvins (YK)
TCR (αR) [?]
Select TCR unit per degree Celsius (/°C) per degree Fahrenheit (/°F) per kelvin (/K) per degree Rankine (/°R) ppm per degree Celsius (ppm/°C) ppm per degree Fahrenheit (ppm/°F) ppm per kelvin (ppm/K) ppm per degree Rankine (ppm/°R) per yoctokelvin (/yK) per zeptokelvin (/zK) per attokelvin (/aK) per femtokelvin (/fK) per picokelvin (/pK) per nanokelvin (/nK) per microkelvin (/µK) per millikelvin (/mK) per centikelvin (/cK) per decikelvin (/dK) per kelvin (/K) per decakelvin (/daK) per hectokelvin (/hK) per kilokelvin (/kK) per megakelvin (/MK) per gigakelvin (/GK) per terakelvin (/TK) per petakelvin (/PK) per exakelvin (/EK) per zettakelvin (/ZK) per yottakelvin (/YK) ppm per yoctokelvin (ppm/yK) ppm per zeptokelvin (ppm/zK) ppm per attokelvin (ppm/aK) ppm per femtokelvin (ppm/fK) ppm per picokelvin (ppm/pK) ppm per nanokelvin (ppm/nK) ppm per microkelvin (ppm/µK) ppm per millikelvin (ppm/mK) ppm per centikelvin (ppm/cK) ppm per decikelvin (ppm/dK) ppm per kelvin (ppm/K) ppm per decakelvin (ppm/daK) ppm per hectokelvin (ppm/hK) ppm per kilokelvin (ppm/kK) ppm per megakelvin (ppm/MK) ppm per gigakelvin (ppm/GK) ppm per terakelvin (ppm/TK) ppm per petakelvin (ppm/PK) ppm per exakelvin (ppm/EK) ppm per zettakelvin (ppm/ZK) ppm per yottakelvin (ppm/YK)
Start Resistance (R0) [?]
⟳ Select resistance unit ohms (Ω) kilohms (kΩ) megohms (MΩ) yoctoohms (yΩ) zeptoohms (zΩ) attoohms (aΩ) femtoohms (fΩ) picoohms (pΩ) nanoohms (nΩ) microohms (µΩ) milliohms (mΩ) centiohms (cΩ) deciohms (dΩ) ohms (Ω) decaohms (daΩ) hectoohms (hΩ) kilohms (kΩ) megohms (MΩ) gigaohms (GΩ) teraohms (TΩ) petaohms (PΩ) exaohms (EΩ) zettaohms (ZΩ) yottaohms (YΩ)
End Resistance (R1) [?]
Select resistance unit ohms (Ω) kilohms (kΩ) megohms (MΩ) yoctoohms (yΩ) zeptoohms (zΩ) attoohms (aΩ) femtoohms (fΩ) picoohms (pΩ) nanoohms (nΩ) microohms (µΩ) milliohms (mΩ) centiohms (cΩ) deciohms (dΩ) ohms (Ω) decaohms (daΩ) hectoohms (hΩ) kilohms (kΩ) megohms (MΩ) gigaohms (GΩ) teraohms (TΩ) petaohms (PΩ) exaohms (EΩ) zettaohms (ZΩ) yottaohms (YΩ)

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User Guide

This tool will calculate any parameter from the formula for determining how much electrical resistance changes with temperature, which includes the start temperature, end temperature, temperature coefficient of resistance (TCR), start resistance and end resistance.

Formulas

The formulas used by this temperature, TCR and resistance change calculator to determine each individual parameter are as follows:

T₀ = T₁ – (R₁ / R₀ – 1) / α_R

T₁ = T₀ + (R₁ / R₀ – 1) / α_R

α_R = (R₁ / R₀ – 1) / (T₁ – T₀)

R₀ = R₁ / (1 + α_R · (T₁ – T₀))

R₁ = R₀ · (1 + α_R · (T₁ – T₀))

Symbols

• T₀ = Start temperature
• T₁ = End temperature
• α_R = Temperature coefficient of resistance (TCR)
• R₀ = Start resistance
• R₁ = End resistance

Start Temperature (T₀)

This is the temperature of the object before the temperature is increased.

End Temperature (T₁)

This is the temperature of the object after the temperature has been increased

Temperature Coefficient of Resistance (TCR, α_R)

This is a fixed value which is used to determine how much a change in temperature will affect the electrical resistance of a particular material. The coefficient defines the fractional change in resistance of a material per unit change in its temperature.

Start Resistance (R₀)

This is the electrical resistance of the material when it is at the start temperature T₀ .

End Resistance (R₁)

This is the electrical resistance of the material following a change temperature from T₀ to T₁ .

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