AP EAMCET · PHYSICS · Thermal Properties of Matter
One junction of a certain thermoelectric couple is at a fixed temperature \(T_r\) and the other junction is at temperature \(T\). The thermo-electromotive force for this is
expressed by \(E=k\left(T-T_r\right)\left[T_0-\frac{1}{2}\left(T+T_r\right)\right]\). At temperature \(T=\frac{1}{2} T_0\), the thermoelectric power is
- A \(\frac{1}{2} k T_0\)
- B \(k T_0\)
- C \(\frac{1}{2} k T_0^2\)
- D \(\frac{1}{2} k\left(T_0-T_r\right)^2\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{2} k T_0\)
Step-by-step Solution
Detailed explanation
We know that thermoelectric power \[ S=\frac{d E}{d T} \] Given, \(E=K\left(T-T_r\right)\left[T_0-\frac{1}{2}\left(T+T_r\right)\right]\) By differentiating the above equation w.r.t. \(T\) and putting \(T=\frac{1}{2} T_0\), we get \(S=\frac{1}{2} k T_0\)
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