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The time constant of a thermocouple is the time taken to attain
  • a)
    the final value to be measured
  • b)
    50% of the value of the initial temperature differenc 
  • c)
    63.2% of the value of the initial temperature difference
  • d)
    98.8% of the value of the initial temperature differenc
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The time constant of a thermocouple is the time taken to attaina)the f...
Time constant of the thermocouple represents the time required for the thermocouple to record 63.2% of initial temperature difference.
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Most Upvoted Answer
The time constant of a thermocouple is the time taken to attaina)the f...
Time Constant of a Thermocouple
The time constant of a thermocouple refers to the time taken for the temperature reading to reach a certain percentage of the final value after a sudden change in temperature.

Explanation of the Correct Answer

Option C: 63.2% of the value of the initial temperature difference
- The correct answer is 63.2% because this percentage corresponds to one time constant in a first-order system.
- In a first-order system, it takes approximately 63.2% of the total time constant to reach 63.2% of the final value.
- After one time constant, the temperature reading of the thermocouple will be about 63.2% of the final value.

Other Options Explained
- Option A: The final value to be measured is not relevant to the time constant. The time constant is about how quickly the temperature reading approaches the final value.
- Option B: 50% of the value of the initial temperature difference is not the correct choice for the time constant of a thermocouple.
- Option D: 98.8% of the value of the initial temperature difference is too close to the final value and does not correspond to a standard time constant in a first-order system.
In conclusion, the time constant of a thermocouple is the time it takes for the temperature reading to reach approximately 63.2% of the final value after a sudden change in temperature.
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