Transient Current

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Question
ICSEENIPH12030003

The emf ‘E’ of a thermocouple varies with the temperature θ (in degree C) of the hot junction (cold junction at 0°C) as E = 15 q 0.05 q2.

Determine the neutral temperature.  

Solution

Given, E =15 θ - 0.05 θ2

dE over dθ space equals space 15 space minus space 2 space straight x space 0.05 space straight theta

dE over dθ space equals space 15 space minus space 0.1 space straight theta

at space space straight theta space equals space straight theta subscript straight n

dE over dθ space equals space 0 space

therefore space 15 space minus space 0.1 space space straight theta subscript straight n space equals space 0

15 space equals space 0.1 space space straight theta subscript straight n

space straight theta subscript straight n space equals space fraction numerator 15 over denominator 0.1 end fraction

space straight theta subscript straight n space equals space 150 space to the power of straight o space straight C


This is the required neutral temperature.

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