Current Electricity Charging Discharging Of Capacitors Question 128

Question: The thermo e.m.f. of a thermocouple varies with the temperature $ \theta $ of the hot junction as $ E=a\theta +b{{\theta }^{2}} $ in volts where the ratio a/b is $ 700^{o}C. $ If the cold junction is kept at $ 0^{o}C, $ then the neutral temperature is

[AIEEE 2004]

Options:

A) $ 700^{o}C $

B) $ 350^{o}C $

C) $ 1400^{o}C $

D) No neutral temperature is possible for this thermocouple

Show Answer

Answer:

Correct Answer: D

Solution:

Comparing with standard equation $ E=\alpha t+\frac{1}{2}\beta t^{2} $ a = a and b = 2b

Therefore $ t _{n}=-\frac{a}{2b}=-\frac{1}{2}\times 700=-350^{o}C $ This is not possible.