# How is Temperature Calculated in Different Temperature Sensor Experiments?

## How is the heating Tin C calculated for the RTD experiment?

In the RTD experiment, the temperature is measured by the resistance of the RTD sensor. The RTD's resistance at 0 °C, Ro, is given as 100 A. The RTD's resistance at a certain temperature, R, is measured as 105 A when heating and 117 A when cooling.

To calculate the temperature Tin C, we can use the Callendar-Van Dusen equation for RTD sensors:

[tex]T = \frac{R - R_o}{R_o} \times \frac{1}{a} + \frac{b}{a^2}[/tex]

where a = 3.90802 * 10^-3 and b = -5.80195 * 10^-7. Substituting the values, we get:

[tex]T = \frac{105 - 100}{100} \times \frac{1}{3.90802 \times 10^{-3}} + \frac{-5.80195 \times 10^{-7}}{(3.90802 \times 10^{-3})^2}[/tex]

Solving this equation gives us T = 7925 °C.

## Answer:

The calculated heating Tin C for the RTD (Resistance Temperature Detector) experiment is 7925 °C.

In the RTD experiment, the temperature is measured using the resistance of the RTD sensor. The RTD sensor's resistance changes with temperature, allowing us to calculate the temperature based on the resistance values. The Callendar-Van Dusen equation is utilized in this experiment to determine the heating Tin C.

The equation involves the nominal resistance at 0 °C (Ro), the current resistance at the given temperature (R), and the constants a and b specific to the RTD sensor. By substituting these values into the equation, we can calculate the temperature with precision.

Through this method, we arrive at a temperature of 7925 °C for the heating Tin C in the RTD experiment, showcasing the effectiveness of using resistance measurements to determine temperature.