If the cold junction of a thermocouple is kept at $0^\circ ext{C}$ and the hot junction is kept at $T^\circ

Question

If the cold junction of a thermocouple is kept at $0^\circ	ext{C}$ and the hot junction is kept at $T^\circ	ext{C}$, then the relation between neutral temperature ($T_n$) and temperature of inversion ($T_i$) is:

Accepted Answer

For a given thermocouple, the temperature difference between the neutral temperature ($T_n$) and the cold junction temperature ($T_c$) is equal to the temperature difference between the inversion temperature ($T_i$) and the neutral temperature ($T_n$).
This can be mathematically expressed as:
$T_n - T_c = T_i - T_n$
$\implies 2T_n = T_i + T_c$
Given that the cold junction is kept at $0^\circ	ext{C}$ ($T_c = 0^\circ	ext{C}$),
$2T_n = T_i + 0$
$\implies T_n = \frac{T_i}{2}$

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