A) \[700{}^\circ C\]
B) \[350{}^\circ C\]
C) \[1400{}^\circ C\]
D) no neutral temperature is possible for this thermocouple
Correct Answer: D
Solution :
[d] The thermo emf is given by |
\[E=a\theta +b{{\theta }^{2}}\] (given) |
For neutral temperature \[({{\theta }_{n}}),\frac{dE}{d\theta }=0\] |
\[\Rightarrow \] \[a+2b{{\theta }_{n}}=0\] |
\[\Rightarrow \] \[{{\theta }_{n}}=-\frac{a}{2b}\] |
\[\therefore \] \[{{\theta }_{n}}=-\frac{700}{2}\] \[\left( \because \frac{a}{b}={{700}^{o}}C \right)\] |
\[=-{{350}^{\text{o}}}C<{{0}^{\text{o}}}C\] |
But neutral temperature can never be negative (less than zero) i.e., \[{{\theta }_{n}}<|{{0}^{o}}C\]. |
Hence, no neutral temperature is possible for this thermocouple. |
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