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Question: \(e = \alpha t - \frac{1}{2}\beta t^{2}\), If temperature of cold junction is \(0^{o} ⥂ C\) then tem...

e=αt12βt2e = \alpha t - \frac{1}{2}\beta t^{2}, If temperature of cold junction is 0oC0^{o} ⥂ C then temperature of inversion is(if α=500.0μV/oC,β=5.0μV/⥂SquareoC(\text{if }\alpha = 500.0\mu V ⥂ / ⥂^{o}C,\beta = 5.0\mu V ⥂ / ⥂ \text{Squar}\text{e}^{o}C)

A

100

B

200

C

300

D

400

Answer

200

Explanation

Solution

tn=αβ=(5005)=100Ct_{n} = \frac{\alpha}{\beta} = \left( \frac{500}{5} \right) = 100{^\circ}C

Also tn=ti+tc2100=ti+02t_{n} = \frac{t_{i} + t_{c}}{2} \Rightarrow 100 = \frac{t_{i} + 0}{2}ti=200Ct_{i} = 200{^\circ}C