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The time constant of a thermocouple is the time taken to attain:
- a)The final value to he measured
- b)50% of the value of the initial temperature difference
- c)63.2% of the value of the initial temperature difference
- d)98.8% of the value of the initial temperature difference
Correct answer is option 'C'. Can you explain this answer?
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The time constant of a thermocouple is the time taken to attain:a)The ...
(q/q0 = e^-t/t when t = t
(q/q0) = e^-1 = 0.368
So after time period equal to t (time constant) the initial temperature difference q0 is reduced to 36.8% so it can also be defined time constant as the equivalent time required to reduce the initial temperature difference q0 by 63.2%
Most Upvoted Answer
The time constant of a thermocouple is the time taken to attain:a)The ...
The time constant of a thermocouple refers to the time it takes for the thermocouple to reach a certain percentage of the value of the initial temperature difference. In this case, the correct answer is option 'C', which states that the time constant corresponds to 63.2% of the value of the initial temperature difference.
Explanation:
1. What is a thermocouple?
A thermocouple is a temperature sensor that consists of two different metal wires, known as thermoelements, which are joined together at one end to form a junction. When the junction is exposed to a temperature gradient, it generates a voltage that is proportional to the temperature difference between the junction and the other end of the thermocouple.
2. Time constant definition:
The time constant of a system is a measure of the time it takes for the system to respond to a change or reach a certain level. In the case of a thermocouple, the time constant refers to the time it takes for the output voltage to reach a certain percentage of the value of the initial temperature difference.
3. Percentage values:
When considering the time constant, specific percentage values are commonly used to define the response time of the system. The most commonly used value is 63.2%, which corresponds to the inverse of the natural logarithm of 2 (1/e ≈ 0.632).
4. Explanation of option 'C':
According to option 'C', the time constant of a thermocouple is the time taken for the output voltage to reach 63.2% of the value of the initial temperature difference. This means that if the initial temperature difference is 100°C, it would take the thermocouple approximately one time constant to reach a temperature difference of 63.2°C.
5. Other options explained:
- Option 'A' states that the time constant is the time taken to attain the final value to be measured. This is not correct as the time constant only represents a specific percentage of the initial temperature difference, not the final value.
- Option 'B' states that the time constant is the time taken to reach 50% of the value of the initial temperature difference. This is not correct as the correct value is 63.2%, as explained above.
- Option 'D' states that the time constant is the time taken to reach 98.8% of the value of the initial temperature difference. This is not correct as the correct value is 63.2%, as explained above.
In conclusion, the time constant of a thermocouple is the time taken for the output voltage to reach 63.2% of the value of the initial temperature difference. This value is commonly used to define the response time of the system.
Explanation:
1. What is a thermocouple?
A thermocouple is a temperature sensor that consists of two different metal wires, known as thermoelements, which are joined together at one end to form a junction. When the junction is exposed to a temperature gradient, it generates a voltage that is proportional to the temperature difference between the junction and the other end of the thermocouple.
2. Time constant definition:
The time constant of a system is a measure of the time it takes for the system to respond to a change or reach a certain level. In the case of a thermocouple, the time constant refers to the time it takes for the output voltage to reach a certain percentage of the value of the initial temperature difference.
3. Percentage values:
When considering the time constant, specific percentage values are commonly used to define the response time of the system. The most commonly used value is 63.2%, which corresponds to the inverse of the natural logarithm of 2 (1/e ≈ 0.632).
4. Explanation of option 'C':
According to option 'C', the time constant of a thermocouple is the time taken for the output voltage to reach 63.2% of the value of the initial temperature difference. This means that if the initial temperature difference is 100°C, it would take the thermocouple approximately one time constant to reach a temperature difference of 63.2°C.
5. Other options explained:
- Option 'A' states that the time constant is the time taken to attain the final value to be measured. This is not correct as the time constant only represents a specific percentage of the initial temperature difference, not the final value.
- Option 'B' states that the time constant is the time taken to reach 50% of the value of the initial temperature difference. This is not correct as the correct value is 63.2%, as explained above.
- Option 'D' states that the time constant is the time taken to reach 98.8% of the value of the initial temperature difference. This is not correct as the correct value is 63.2%, as explained above.
In conclusion, the time constant of a thermocouple is the time taken for the output voltage to reach 63.2% of the value of the initial temperature difference. This value is commonly used to define the response time of the system.
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The time constant of a thermocouple is the time taken to attain:a)The final value to he measuredb)50% of the value of the initial temperature differencec)63.2% of the value of the initial temperature differenced)98.8% of the value of the initial temperature differenceCorrect answer is option 'C'. Can you explain this answer?
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