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Measurement and Instrumentation Theory and Application

Please answer the below question. Please show all work and write clearly. Thanks.

7.4 A null-type Wheatstone bridge is used to accurately measure the resistance of a strain gauge during a calibration procedure. The circuit shown in Figure 7.1 is used, in which the known fixed resistance values are given by R2 =331.2 ohms and R3 =327.5 ohms. The thermometer is inserted in the circuit as Ru and then the variable resistance box Rv is adjusted until the bridge output voltage V0 goes to zero. At this balance point, the value of Rv is 352.5 ohms. Calculate the resistance of the strain gauge.

Ru Rv R2 Vo Figure 7.1 Wheatstone bridge.

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Answer #1

Solution : given R2=331.2, R3=327.5 ,Rv =352.5 ohms

> Voltage V0 goes to zero means Bridge is balanced.

>Then Bridge balance condition is

Ru × R2 = R3 × Rv

Ru = (R3 × Rv)/R2

Ru = (327.5 × 352.5)/331.2

Ru = 348.56 ohms

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