3.10 A diaphragm pressure gauge employs four strain gauges to monitor the displacement of the diaphragm. The four active gauges form the arms of a Wheatstone bridge, in the way shown in Figure 3.23. The gauges have a gauge factor of 2.1 and resistance 120 2. A differential pressure applied to the diaphragm results in two of the gauges on one side of the diaphragm being subject to a tensile strain of 1.0x 10-5 and the two on the other side a compressive strain of 1.0x 10-5. The supply voltage for the bridge is 10 V. What will be the voltage output from the bridge?

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3.10 A diaphragm pressure gauge employs four strain gauges to monitor the
displacement of the diaphragm. The four active gauges form the arms of a
Wheatstone bridge, in the way shown in Figure 3.23. The gauges have a gauge factor
of 2.1 and resistance 120 2. A differential pressure applied to the diaphragm results
in two of the gauges on one side of the diaphragm being subject to a tensile strain of
1.0× 10-5 and the two on the other side a compressive strain of 1.0x 10-5. The
supply voltage for the bridge is 10 V. What will be the voltage output from the bridge?
In
In
Figure 3.23 Compensation with
strain gauges: (a) use of dummy
gauge, (b) four active arm bridge.
Active
tension
compression
gauge
R,
R2
R1
R2
Output
V.
Output
R
R4
R3
Dummy
In
In
gauge
compression
tension
In
In
tension
compression
(a)
(b)
Transcribed Image Text:3.10 A diaphragm pressure gauge employs four strain gauges to monitor the displacement of the diaphragm. The four active gauges form the arms of a Wheatstone bridge, in the way shown in Figure 3.23. The gauges have a gauge factor of 2.1 and resistance 120 2. A differential pressure applied to the diaphragm results in two of the gauges on one side of the diaphragm being subject to a tensile strain of 1.0× 10-5 and the two on the other side a compressive strain of 1.0x 10-5. The supply voltage for the bridge is 10 V. What will be the voltage output from the bridge? In In Figure 3.23 Compensation with strain gauges: (a) use of dummy gauge, (b) four active arm bridge. Active tension compression gauge R, R2 R1 R2 Output V. Output R R4 R3 Dummy In In gauge compression tension In In tension compression (a) (b)
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