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  4. In the balanced condition, the values of the resistances of the four arms of a Wheatstone bridge are shown in the figure below. The resistance R3 has temperature coefficient 0.0004 ° C- 1. If the temperature of R3 is increased by 100° C, the voltage developed between S and T will be k× 10- 2V . Find the value of k. (Approximate the answer to the nearest integer.) <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-fppcux8fwlipfzuf.jpg />

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Q. In the balanced condition, the values of the resistances of the four arms of a Wheatstone bridge are shown in the figure below. The resistance $R_{3}$ has temperature coefficient $0.0004 {}^{^\circ }C^{- 1}.$ If the temperature of $R_{3}$ is increased by $100^\circ C,$ the voltage developed between $S$ and $T$ will be $k\times 10^{- 2}V$ . Find the value of $k.$ (Approximate the answer to the nearest integer.)
Question

NTA AbhyasNTA Abhyas 2022

Solution:

$R_{3}^{'}=300\left(\right.1+\alpha \Delta T\left.\right)$
$=312\,\Omega$
Now
Solution
$I_{1}=\frac{50}{372}$ and $I_{2}=\frac{50}{600}$
$V_{S}-V_{T}=312I_{1}-500I_{2}$
$=41.94-41.67=0.27\,V$