First slide

Thermal effect of current

Question

The expression for thermo emf in a thermo couple is given by the relation $E = 40 θ - \frac{θ^{2}}{20}$ , where $θ$ is the temperature difference of two junctions. For this , the neutral temperature will be …….. $^{o} C$

Moderate

Solution

$E = 40 θ - \frac{θ^{2}}{20} F o r n e u t r a l t e m p e r a t u r e, \frac{d E}{d θ} = 0 \Rightarrow \frac{d E}{d θ} = 40 - \frac{2 θ}{20} \Rightarrow 0 = 40 - \frac{θ}{10} \Rightarrow θ = 400^{0} C$

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