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Question:

The thermo emf E (in volts) of a certain thermocouple is found to vary with Q (in C) according to equation E=20Q−Q²/20, where Q is the temperature of the hot junction, the cold junction being kept at 0°C. Then, the neutral temperature of the thermocouple is

300oC

400oC

100oC

200oC

Solution:

Given, thermo emf E=20Q−Q²/20
For neutral temperature, the thermo emf will be maximum so dE/dQ=0
or 20 − 2Q/20 = 0
or Qn = Q = 200°C