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(B) The thermo $e.m.f.$ $(E)$ in a thermocouple as a function of temperature $(T)$ is given by the relation: $E = aT + \frac{1}{2}bT^2$.To find the te

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The thermo $e.m.f.$ is maximum

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(B) The thermo $e.m.f.$ $(E)$ in a thermocouple as a function of temperature $(T)$ is given by the relation: $E = aT + \frac{1}{2}bT^2$.To find the temperature at which the $e.m.f.$ is maximum,we differentiate $E$ with respect to $T$ and set it to zero:$\frac{dE}{dT} = a + bT = 0$.Solving for $T$,we get $T = -\frac{a}{b}$. This temperature is defined as the neutral temperature $(T_n)$.At the neutral temperature,the thermo $e.m.f.$ reaches its maximum value.

The neutral temperature of a thermocouple is defined as the temperature at which:

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