If the cold junction is held at 0^{circ} C,th | vedclass

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

Question

(D) Given the thermo emf equation: $V = 10 	imes 10^{-6} t - \frac{1}{40} 	imes 10^{-6} t^2$.The neutral temperature $(t_n)$ occurs when the thermo

Vedclass · Accepted Answer

$200^{\circ} C ; 1 	ext{ mV}$

Vedclass · Answer

(D) Given the thermo emf equation: $V = 10 	imes 10^{-6} t - \frac{1}{40} 	imes 10^{-6} t^2$.The neutral temperature $(t_n)$ occurs when the thermo emf is maximum,which implies $\frac{dV}{dt} = 0$.Differentiating $V$ with respect to $t$: $\frac{dV}{dt} = 10 	imes 10^{-6} - \frac{2}{40} 	imes 10^{-6} t = 10 	imes 10^{-6} - \frac{1}{20} 	imes 10^{-6} t$.Setting $\frac{dV}{dt} = 0$: $10 	imes 10^{-6} = \frac{1}{20} 	imes 10^{-6} t_n \implies t_n = 200^{\circ} C$.Now,substitute $t_n = 200^{\circ} C$ into the equation for $V$ to find $V_{\max}$:$V_{\max} = 10 	imes 10^{-6} (200) - \frac{1}{40} 	imes 10^{-6} (200)^2$.$V_{\max} = 2000 	imes 10^{-6} - \frac{40000}{40} 	imes 10^{-6} = 2 	imes 10^{-3} - 1 	imes 10^{-3} = 1 	imes 10^{-3} 	ext{ V} = 1 	ext{ mV}$.

If the cold junction is held at $0^{\circ} C$,the thermo emf $V$ of a thermocouple varies as $V = 10 \times 10^{-6} t - \frac{1}{40} \times 10^{-6} t^2$,where $t$ is the temperature of the hot junction in $^{\circ} C$. The neutral temperature and the maximum value of thermo emf are respectively:

Similar Questions

Two point white dots are $1\, mm$ apart on a black paper. They are viewed by an eye with a pupil diameter of $3\, mm$. Approximately,what is the maximum distance in $m$ at which these dots can be resolved by the eye? [Take wavelength of light $\lambda = 500\, nm$]

If a number is chosen at random from the four-digit numbers formed by using the digits $0, 1, 2, 3, 4, 6$ without repetition,then the probability that it is divisible by $4$ is:

What is the use of Guayule ($Parthenium$ $argentatum$)?

Which of the following is $NOT$ an effect of withdrawal syndrome?

Which element is located at the center of the porphyrin ring in chlorophyll?

Vedclass Test Series

Exam Paper Generator

Online Exam Module