Current Electricity Charging Discharging Of Capacitors Question 103

Question: The expression for thermo e.m.f. in a thermocouple is given by the relation $ E=40,\theta -\frac{{{\theta }^{2}}}{20} $ , where $ \theta $ is the temperature difference of two junctions. For this, the neutral temperature will be

[AMU (Engg.) 2000]

Options:

A) $ 100{}^\circ C $

B) $ 200{}^\circ C $

C) $ 300{}^\circ C $

D) $ 400{}^\circ C $

Show Answer

Answer:

Correct Answer: D

Solution:

Comparing the given equation with standard equation $ E=\alpha t+\frac{1}{2}\beta t^{2} $

$ \alpha =40 $ and $ \frac{1}{2}\beta =-\frac{1}{20} $

Therefore $ \beta =-\frac{1}{10} $ Hence neutral temperature $ t _{n}=-\frac{\alpha }{\beta }=\frac{-,40}{-1/10} $

Therefore $ t _{n}=400^{o}C $