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 ° C - 1 . If the temperature of R 3 is increased by 100 ° C , the voltage developed between S and T will be ________

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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 ° C - 1 . If the temperature of R 3 is increased by 100 ° C , the voltage developed between S and T will be __________ volt.

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Correct answer: A. A

R 3 = 300 ( 1 + α Δ T ) = 300 1 + 4 10000 × 100 = 312 V 1 = 41 . 9354 = 41 . 94 V 2 = 41 . 666 = 41 . 67 V 1 - V 2 = 41 . 94 - 41 . 67 = 0 . 27

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