The emf of a thermocouple,one junction of whi | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The Peltier coefficient $\pi$ is given by the relation $\pi = T \frac{de}{dT}$,where $T$ is the absolute temperature in Kelvin.Given that one junc

Vedclass · Accepted Answer

$(t + 273)(a + 2bt)$

Vedclass · Answer

(A) The Peltier coefficient $\pi$ is given by the relation $\pi = T \frac{de}{dT}$,where $T$ is the absolute temperature in Kelvin.Given that one junction is at $0\,^{\circ}C$,the absolute temperature $T$ is related to the Celsius temperature $t$ by $T = t + 273$.Substituting $t = T - 273$ into the given emf equation $e = at + bt^2$:$e = a(T - 273) + b(T - 273)^2$.Differentiating with respect to $T$:$\frac{de}{dT} = a + 2b(T - 273)$.Since $T - 273 = t$,we have $\frac{de}{dT} = a + 2bt$.Now,calculating the Peltier coefficient:$\pi = T \frac{de}{dT} = (t + 273)(a + 2bt)$.

The emf of a thermocouple,one junction of which is kept at $0\,^{\circ}C$,is given by $e = at + bt^2$. The Peltier coefficient will be

Similar Questions

Four resistances $40 \ \Omega, 60 \ \Omega, 90 \ \Omega$,and $110 \ \Omega$ form the arms of a quadrilateral $ABCD$. $A$ battery of emf $40 \ V$ with negligible internal resistance is connected across $AC$. Find the potential difference across $BD$. (in $V$)

The currents $i_1$ and $i_2$ through the resistors $R_1 (= 10\,\Omega)$ and $R_2 (= 30\,\Omega)$ in the circuit diagram with $E_1 = 3\,V, E_2 = 3\,V$ and $E_3 = 2\,V$ are respectively:

Find the current through the $2\, \Omega$ resistance. (in $, A$)

When a resistance $R_1$ is connected across a cell,the current is $I_1$ and if the resistance $R_1$ is replaced by $R_2$,the current is $I_2$. Then the internal resistance of the cell is

$A$ $DC$ source with internal resistance $R_0$ is connected to three identical resistors each of resistance $R$ as shown in the figure. If the thermal power generated in the circuit is highest,then

Vedclass Test Series

Exam Paper Generator

Online Exam Module