A thermocouple is a temperature-measurement device that consists of two dissimilar metal wires joined atone end. An oversimplified diagram follows.Metal 1POTENTIOMETERV(mV)Metal 2A voltage generated at the metal junction is read on a potentiometer or millivoltmeter.When certain metals are used, the voltage varies expon with the temperature at the junction of the twometals:V(mV) = a exp(b.T (°C))An iron-constantan thermocouple (constantan is an alloy of copper and nickel) is calibrated by insertingits junction in boiling water and measuring a voltage 6 mV, and then inserting the junction in gold at itsmelting point and measuring 72 mV.1.Using linearization method find the value of the constant a and b.2.Derive and equation for V measured in V in terms of T measured in ('R).

1. Given equation is: V(mV) =aexp(bT(°C))Also the given thermocuple is calibrated by inserting its…

A thermocouple is a temperature-measurement device that consists of two dissimilar metal wires joined at one end. An oversimplified diagram follows. Metal 1 POTENTIOMETER V(mV) Metal 2 A voltage generated at the metal junction is read on a potentiometer or millivoltmeter. When certain metals are used, the voltage varies expon with the temperature at the junction of the two metals: V(mV) - а еxp(ь.Т ( С) An iron-constantan thermocouple (constantan is an alloy of copper and nickel) is calibrated by inserting its junction in boiling water and measuring a voltage 6 mV, and then inserting the junction in gold at its melting point and measuring 72 mV. 1. Using linearization method find the value of the constant a and b. 2. Derive and equation for V measured in V in terms of T measured in ('R).

A thermocouple is a temperature-measurement device that consists of two dissimilar metal wires joined at one end. An oversimplified diagram follows. Metal 1 POTENTIOMETER V(mV) Metal 2 A voltage generated at the metal junction is read on a potentiometer or millivoltmeter. When certain metals are used, the voltage varies expon with the temperature at the junction of the two metals: V(mV) - а еxp(ь.Т ( С) An iron-constantan thermocouple (constantan is an alloy of copper and nickel) is calibrated by inserting its junction in boiling water and measuring a voltage 6 mV, and then inserting the junction in gold at its melting point and measuring 72 mV. 1. Using linearization method find the value of the constant a and b. 2. Derive and equation for V measured in V in terms of T measured in ('R).