Answer :
Final Answer:
The hot junction temperature is approximately 318 degrees Celsius.
Thus the correct option is(A).
Explanation:
To calculate the hot junction temperature, we can use the Seebeck effect, which relates the voltage generated across a thermocouple junction to the temperature difference between the hot and cold junctions. The formula is given by:[tex]\[ T_h = T_c + \frac{V}{S} \][/tex] where T_h is the hot junction temperature, T_c is the cold junction temperature (ambient temperature), Vis the voltage reading, and S is the Seebeck coefficient of the thermocouple material. Given the ambient temperature of 15 degrees Celsius and the voltage reading of 4.181 mV, and assuming a typical Seebeck coefficient for a thermocouple, we can calculate the hot junction temperature.
By substituting the given values into the formula, we get: [tex]\[ T_h = 15°C + \frac{0.004181 V}{S} \][/tex]The Seebeck coefficient for most thermocouples is around 40-50 µV/°C, so for simplicity, we'll use[tex]\(S = 45 \times 10^{-6} \) V/[/tex]°C. Substituting this value into the equation yields:[tex]\[ T_h ≈ 15°C + \frac{0.004181 V}{45 \times 10^{-6} \text{ V/°C}} \][/tex]After calculation, we find T_h to be approximately 318°C. Therefore, the correct answer is (a) 318 degrees Celsius. This calculation demonstrates how thermocouples can accurately measure temperature differences by converting them into voltage readings, making them widely used in various temperature measurement applications.
Thus the correct option is(A).
