Calculate Temperature Coefficient of RTD

RTD’s are based on the principle that the resistance of a metal increases with temperature. The temperature coefficient of resistance (TCR) for resistance temperature detectors (denoted by αo), is normally defined as the average resistance change per °C over the range 0 °C to 100 °C, divided by the resistance of the RTD, Ro, at 0 °C.

temperature coefficient of RTD

where,

 R0 = resistance of rtd at 0 °C (ohm), and

R100 = resistance of rtd at 100 °C (ohm),

Note: Here we are discussing about RTD PT100 only.
Calculate Temperature Coefficient of RTD

 As a first approximation, the relationship between resistance and temperature, may then be expressed as (see Figure 2):

RTD Formula to Calculate Resistance

where: Rt = resistance of rtd at temperature t (ohm),

Ro = resistance of rtd at 0 °C (ohm), and

α= temperature coefficient of resistance (TCR) at 0 °C (per °C)

Example

A platinum RTD PT100 measures 100 Ω at 0 °C and 139.1 Ω at 100 °C.

  • calculate the resistance of the RTD at 50 °C.

  • Calculate the TCR for platinum.

  • calculate the temperature when the resistance is 110 Ω.

Calculate the Temperature Coefficient of RTD PT100

From Equation – 1 :

Calculate the Temperature Coefficient of RTD PT100

Calculate the resistance of the RTD at 50 °C

From Equation – 2 :

R50 = Ro(1 + αt) = 100(1 + 0.00391×50) = 119.55Ω

Calculate the temperature when the resistance is 110 ohms

From Equation – 2:

Rt = Ro(1 + αt) ⇒ 110 = 100(1 + 0.00391t)

Rt =1 + 0.00391t = 1.1 ⇒ 0.00391t = 0.1 ⇒ t = 25.58 °C.

Also Read : RTD Working Principle

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8 thoughts on “Calculate Temperature Coefficient of RTD”

  1. Dear sir,
    last question u made a mistake that calculate the temperature for the resistance at 110 ohm but u mentioned 100 *c

    Reply
      • please sir help me in this calculation,
        the resistance Rt of a platinum wire at temperature Tdegree measured on the glass scale is given by Rt=Ro(1 + at +bt) where a=3.800*10^MINUS3 and b=5.6*10^minus7 .What temperature will the platinum thermometer indicate when the temperature of the gas scale is
        200degree

        Reply
  2. I think there is another easy method to convert ohms to temperature
    To convert temperature to ohms..
    If u knows then write please

    Reply
  3. subtract the ohms you get from 138.5 and the answer you get divide by 38.5 then multiply by 100. eg. 110ohms from 138.5 ohms you get 28.5 ohms. divide that by 38.5 equals 0.714 multiply by 100 equals 71.2 deg.

    Reply
  4. Some of the time we use 2.5 to multiply the RF

    How can we prove that 2.5 as the standard unit
    And also we did we get that 2.5 from

    Reply
  5. what if resistance is less then 100 degree and temperature in minus degree c so how we will calculate lets suppose total is
    110-100=10÷0.385=25.9C
    what if your temperature is in minus lets suppose -25 so what will be the resistance calculation kindly guide.

    Reply

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Calculate Temperature Coefficient of RTD

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