Enter the base resistance, temperature coefficient, and temperature into the calculator to determine the resistance at a specific temperature using the Rtd formula.
- Rtd Coefficient Calculator
- Resistor Temperature Coefficient Calculator
- Temperature Decrease Calculator
Rtd Formula
The following formula is used to calculate the resistance at a specific temperature for a Resistance Temperature Detector (RTD).
R_t = R_0 (1 + α(T - T_0))
Variables:
- R_t is the resistance at temperature T (Ω)
- R_0 is the base resistance at reference temperature T_0 (Ω)
- α is the temperature coefficient of resistance (°C⁻¹)
- T is the temperature at which resistance is measured (°C)
- T_0 is the reference temperature, usually 0°C for calculations
To calculate the resistance at a specific temperature for an RTD, multiply the base resistance by the sum of 1 and the product of the temperature coefficient and the difference between the temperature and the reference temperature.
What is an RTD?
An RTD (Resistance Temperature Detector) is a sensor used to measure temperature by correlating the resistance of the RTD element with temperature. RTDs are known for their accuracy and stability over a wide temperature range. They are commonly used in industrial applications where precise temperature measurements are required.
How to Calculate Resistance with the Rtd Formula?
The following steps outline how to calculate the resistance at a specific temperature using the Rtd formula.
- First, determine the base resistance (R_0) at the reference temperature, usually 0°C.
- Next, determine the temperature coefficient of resistance (α).
- Next, determine the temperature (T) at which you want to measure the resistance.
- Use the formula R_t = R_0 (1 + α(T – T_0)) to calculate the resistance at temperature T (R_t).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Base resistance (R_0) = 100 Ω
Temperature coefficient of resistance (α) = 0.00385 °C⁻¹
Temperature (T) = 100 °C
