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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 figure below. The resistance R3 has temperature coefficient α=KT°C1 where K=0.0008 and T is temperature in°C. If the temperature of only R3  is increased by 10°C, then [Take initial temperature 0°C ; Resistance of voltmeter V is very large]

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a

The voltage developed between C and D will be 0.5 volt at T=00C

b

The voltage developed between C and D will be approx 0.47 volt at T=100C

c

The voltage developed between C and D will be 0 volt at T=00C

d

The voltage developed between C and D will be approx 0.27 volt at T=100C

answer is A, C.

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Detailed Solution

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R3=300(1+.0008×50)       = 312      ΔV3=50372×31250×56        = 0.27 V

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