Answer to Question #157768 in Electric Circuits for YAHIA

Question

)An Iron-Constantan thermocouple (TC) is used to measure temperature between 0 o C and 300 oC at which it generates 5268 μV. If the thermal emf is 12500 μV relative to the reference junction at 20 o C. Estimate the measured junction temperature.

Answer 1

Let's solve this problem:

$0^o C \space \space to \space \space 300^oC \space \space \space \space 5268\mu V$

$20^o C \space \space to \space \space T_k \space ^oC \space \space \space \space12500\mu V$

The electro motive force : $E = K(T_k-T_C)$

Where: K is the $\frac{T}{C}$ sensitivity

$5268 = K(300-0)$

$12500 = K(T_k - 20)$ ------> $\large\frac{5268}{12500} = \large\frac{300}{T_k-20}$

$T_k = \large\frac{12500*300-20*5268}{5268}$ $= 691.845 ^oC$