The temperatures of the junctions of a bismuth-silver thermocoupl… - Vidyadip

Question

The temperatures of the junctions of a bismuth-silver thermocouple are maintained at $0^{\circ} \mathrm{C}$ and $0.001^{\circ} \mathrm{C}$. Find the thermo-emf (Seebeck emf) developed. For bismuth-silver, $a=-46 \times 10^{-6} \mathrm{~V}^{\circ} \mathrm{C}-^{-1}$ and $\mathrm{b}=-0.48 \times 10^{-6} \mathrm{~V}^{\circ} \mathrm{C}^{-2}$.

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Answer

$\theta=0.001^\circ\text{C}$$\text{a}=-46\times10^{-6}\text{v/deg},$
$\text{b}=-0.48\times10^{-6}\text{v/deg}^2$
$\text{Emf}=\text{a}_{\text{BlAg}}\theta+\Big(\frac{1}{2}\Big)\text{b}_{\text{BlAg}}\theta^2$
$=-46\times10^{-6}\times0.001-\Big(\frac{1}{2}\Big)\times0.48\times10^{-6}(0.001)^2$
$=-46\times10^{-9}-0.24\times10^{-12}$
$=-46.00024\times10^{-9}$
$=-4.6\times10^{-8}\text{V}$

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