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Question: For a thermocouple, the neutral temperature is \(270{^\circ}C\) and the temperature of its cold junc...

For a thermocouple, the neutral temperature is 270C270{^\circ}C and the temperature of its cold junction is 20C20{^\circ}C. If there is no deflection in the galvanometer, the temperature of the hot junction should be

A

210C210{^\circ}C

B

540C540{^\circ}C

C

520C520{^\circ}C

D

209C209{^\circ}C

Answer

520C520{^\circ}C

Explanation

Solution

When there is no deflection, then this temperature is called inversion temperature. It is given by the relation θn=θi+θc2\theta_{n} = \frac{\theta_{i} + \theta_{c}}{2}

Where θc\theta_{c} is temperature of cold junction =20oC= 20^{o}C and neutral temperature θn=270oC\theta_{n} = 270^{o}C

\therefore θi=2θnθc=54020=520oC\theta_{i} = 2\theta_{n} - \theta_{c} = 540 - 20 = 520^{o}C