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Find the Neutral Temperature and Inversion Temperature of a Copper-iron Thermocouple If the Reference Junction is Kept at 0°C. Use the Data Given in the Following Table. - Physics

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प्रश्न

Find the neutral temperature and inversion temperature of a copper-iron thermocouple if the reference junction is kept at 0°C. Use the data given in the following table.

Metal with lead (Pb)

a

`mu V"/"^oC`

b

`muV"/("^oC)`

Aluminium -0.47 0.003
Bismuth -43.7 -0.47
Copper 2.76 0.012
Gold 2.90 0.0093
Iron 16.6 -0.030
Nickel 19.1 -0.030
Platinum -1.79 -0.035
Silver 2.50 0.012
Steel 10.8 -0.016
बेरीज

उत्तर

Neutral temperature, \[\theta_n = - \frac{a}{b}\]

\[a_{CuFe} = a_{CuPb} - a_{FePb} \]

\[ = 2 . 76 - 16 . 6 = 13 . 84 \mu V^\circ C^{- 1}\]

\[b_{CuFe} = b_{CuPb} - b_{FePb} \]

\[ = 0 . 012 + 0 . 030 = 0 . 042 \mu V^\circ C^{- 2}\]

Thus, the neutral temperature,

\[\theta_n  = \frac{- a_{CuFe}}{b_{CuFe}} = \frac{13 . 84}{0 . 042} = 329 . 52^\circ C = 330^\circ C\]

The inversion temperature is double the neutral temperature, i.e. 659 °C.

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Temperature Dependence of Resistance
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पाठ 11: Thermal and Chemical Effects of Current - Exercises [पृष्ठ २१९]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
पाठ 11 Thermal and Chemical Effects of Current
Exercises | Q 15 | पृष्ठ २१९

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