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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