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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 volt.

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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 ______ volt.Physics Question Image

JEE AdvancedJEE Advanced 2020

Solution:

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$R _{3}^{\prime}= R _{3}(1+\alpha \Delta T )=312\, \Omega$
$V _{ S }- V _{ T }= I _{2} R _{2}- L _{1} R _{1}$
$=\frac{50}{100+500} \times 100-\frac{50}{60+312} \times 60$
$\approx 0.2688 \approx 0.27\, V$