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Problem 3 Strain gauges and the bridge configuration shown in Figure P3 are to be used to convert change in resistance due to strain into changes in voltage. Ro is the rest resistance of the strain gauge and the resistance of the resistors, AR is the change in resistance due to strain, and AR, is the change in resistance due to changes in temperature. a) Derive an expression for the output of the bridge (Vout) in terms of the input (change in resistance). b) Swap the impedances for 23 and 24, making 24 the second active arm. Derive the new expression for the output of the bridge in terms of input. c) State which configuration is preferable and why. d) If Ro is 120 2, and Imax is 30 mA, what is the maximum allowable supply voltage? Z1 Z1 = Ro + AR + ART Z2 = Ro Z3 = Ro - AR + ART Z4 = Ro Z2 %3D %3D Vsupply %3D Z4 Z3 Vout Figure P3

Problem 3 Strain gauges and the bridge configuration shown in Figure P3 are to be used to convert change in resistance due to strain into changes in voltage. Ro is the rest resistance of the strain gauge and the resistance of the resistors, AR is the change in resistance due to strain, and AR, is the change in resistance due to changes in temperature. a) Derive an expression for the output of the bridge (Vout) in terms of the input (change in resistance). b) Swap the impedances for 23 and 24, making 24 the second active arm. Derive the new expression for the output of the bridge in terms of input. c) State which configuration is preferable and why. d) If Ro is 120 2, and Imax is 30 mA, what is the maximum allowable supply voltage? Z1 Z1 = Ro + AR + ART Z2 = Ro Z3 = Ro - AR + ART Z4 = Ro Z2 %3D %3D Vsupply %3D Z4 Z3 Vout Figure P3

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Problem 3 Strain gauges and the bridge configuration shown in Figure P3 are to be used to convert change in resistance due to strain into changes in voltage. Ro is the rest resistance of the strain gauge and the resistance of the resistors, AR is the change in resistance due to strain, and AR, is the change in resistance due to changes in temperature. a) Derive an expression for the output of the bridge (Vout) in terms of the input (change in resistance). b) Swap the impedances for Z3 and Z4, making Z4 the second active arm. Derive the new expression for the output of the bridge in terms of input. c) State which configuration is preferable and why. d) If Ro is 120 2, and Imax is 30 mA, what is the maximum allowable supply voltage? Z1 = Ro + AR + ART Z2 = Ro Z3 = Ro – AR + ART Z4 = Ro Z1 Z2 Vsupply %3D Z4 Z3 Vout Figure P3
Transcribed Image Text:Problem 3 Strain gauges and the bridge configuration shown in Figure P3 are to be used to convert change in resistance due to strain into changes in voltage. Ro is the rest resistance of the strain gauge and the resistance of the resistors, AR is the change in resistance due to strain, and AR, is the change in resistance due to changes in temperature. a) Derive an expression for the output of the bridge (Vout) in terms of the input (change in resistance). b) Swap the impedances for Z3 and Z4, making Z4 the second active arm. Derive the new expression for the output of the bridge in terms of input. c) State which configuration is preferable and why. d) If Ro is 120 2, and Imax is 30 mA, what is the maximum allowable supply voltage? Z1 = Ro + AR + ART Z2 = Ro Z3 = Ro – AR + ART Z4 = Ro Z1 Z2 Vsupply %3D Z4 Z3 Vout Figure P3
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