Enter the resistance at T2, the resistance at T1 and the temperature coefficient of resistance in to the calculator to determine the change in temperature.

Resistance to Temperature Formula

The following equation is used to calculate the Temperature from Resistance.

ΔT  = (R(T2)/R(T1)-1)/a
  • Where ΔT is the change in temperature
  • R(T2) is the resistance at temperature 2
  • R(T1 is the resistance at temperature 1
  • a is the temperature coefficient of resistance.

To calculate the temperature from resistance, divide the resistance at T2 by that at T1, subtract 1, then divide the result by the coefficient of resistance.

How are resistance and temperature related?

Typically as the resistances of components increase, so does the temperature they generate.

How to Calculate Resistance to Temperature?

Example Problem:

The following example outlines the steps and information needed to calculate temperature from resistance.

First, determine the resistance at temperature 2. In this case, the resistance at T2 is measured to be 50 ohms.

Next, determine the resistance at temperature 1. For this example, the resistance at T1 is 20 ohms.

Next, determine the temperature coefficient of resistance. In this case, the coefficient is measured to be .25C / ohm.

Finally, calculate the change in temperature using the formula above:

ΔT = (R(T2)/R(T1)-1)/a

ΔT = (50/20-1)/.25

ΔT = 6 C