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A thermocouple having a linear relationship between 0oC and 350 oC shows an emf of zero and
30.5 mV, respectively at these two temperatures. If the cold junction temperature is shifted from
0 oC to 30 oC, then the emf correction (in mV) is
  • a)
    3.13
  • b)
    2.92
  • c)
    2.61
  • d)
    2.02
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A thermocouple having a linear relationship between 0oC and 350 oC sho...
since, the releationship is linear
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Most Upvoted Answer
A thermocouple having a linear relationship between 0oC and 350 oC sho...
Given information:
- A thermocouple has a linear relationship between 0°C and 350°C.
- The emf of the thermocouple is zero at 0°C and 30.5 mV at 350°C.

To find:
The emf correction when the cold junction temperature is shifted from 0°C to 30°C.

Solution:
Step 1: Determining the emf at the new cold junction temperature:
- The thermocouple has a linear relationship between 0°C and 350°C, which means that for every 100°C change in temperature, the emf changes by 30.5 mV.
- Therefore, the emf change per 1°C change in temperature can be calculated as follows:
Emf change per 1°C = (30.5 mV)/(350°C - 0°C) = 0.087 mV/°C
- Since the cold junction temperature is shifted from 0°C to 30°C, the change in temperature is 30°C.
- Therefore, the emf change at the new cold junction temperature is:
Emf change = (0.087 mV/°C) * 30°C = 2.61 mV

Step 2: Determining the emf correction:
- The emf correction is the difference between the emf at the new cold junction temperature and the emf at the original cold junction temperature.
- The emf at the original cold junction temperature is given as zero.
- Therefore, the emf correction is:
Emf correction = Emf at new cold junction temperature - Emf at original cold junction temperature
= 2.61 mV - 0 mV
= 2.61 mV

Answer:
The emf correction when the cold junction temperature is shifted from 0°C to 30°C is 2.61 mV. Therefore, the correct option is C.
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A thermocouple having a linear relationship between 0oC and 350 oC shows an emf of zero and30.5 mV, respectively at these two temperatures. If the cold junction temperature is shifted from0 oC to 30 oC, then the emf correction (in mV) isa)3.13b)2.92c)2.61d)2.02Correct answer is option 'C'. Can you explain this answer?
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A thermocouple having a linear relationship between 0oC and 350 oC shows an emf of zero and30.5 mV, respectively at these two temperatures. If the cold junction temperature is shifted from0 oC to 30 oC, then the emf correction (in mV) isa)3.13b)2.92c)2.61d)2.02Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A thermocouple having a linear relationship between 0oC and 350 oC shows an emf of zero and30.5 mV, respectively at these two temperatures. If the cold junction temperature is shifted from0 oC to 30 oC, then the emf correction (in mV) isa)3.13b)2.92c)2.61d)2.02Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thermocouple having a linear relationship between 0oC and 350 oC shows an emf of zero and30.5 mV, respectively at these two temperatures. If the cold junction temperature is shifted from0 oC to 30 oC, then the emf correction (in mV) isa)3.13b)2.92c)2.61d)2.02Correct answer is option 'C'. Can you explain this answer?.
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