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(50 pts.) In the Capacitive Displacement Sensor project that you are working on in the lab, the capacitance of the transducer cannot be measured directly with a multimeter. We find the capacitance using the frequency of a square wave from an oscillating circuit with the following formula. C = 1.44/[ƒ (R1+2R2)] where fis the measured frequency. R1 and R2 are two resistances in the oscillating circuit. Assuming the following f=3kHZ; R]=1 MQ; R2=2MQ; the error introduce by each component is: ef= 0.001; RI=0.002; R2=0.005. Using error comination analysis method to find the overall fractional error of the indirectly measured C. (hint: Use the absolute fractional error method or SRSS method.)

(50 pts.) In the Capacitive Displacement Sensor project that you are working on in the lab, the capacitance of the transducer cannot be measured directly with a multimeter. We find the capacitance using the frequency of a square wave from an oscillating circuit with the following formula. C = 1.44/[ƒ (R1+2R2)] where fis the measured frequency. R1 and R2 are two resistances in the oscillating circuit. Assuming the following f=3kHZ; R]=1 MQ; R2=2MQ; the error introduce by each component is: ef= 0.001; RI=0.002; R2=0.005. Using error comination analysis method to find the overall fractional error of the indirectly measured C. (hint: Use the absolute fractional error method or SRSS method.)

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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(50 pts.) In the Capacitive Displacement Sensor project that you are working on in the lab, the capacitance of the transducer cannot be measured directly with a multimeter. We find the capacitance using the frequency of a square wave from an oscillating circuit with the following formula. C = 1.44/[ƒ (R1+2R2)] where fis the measured frequency. R1 and R2 are two resistances in the oscillating circuit. Assuming the following f=3kHZ; R]=1 MQ; R2=2MQ; the error introduce by each component is: ef= 0.001; RI=0.002; R2=0.005. Using error comination analysis method to find the overall fractional error of the indirectly measured C. (hint: Use the absolute fractional error method or SRSS method.)
Transcribed Image Text:(50 pts.) In the Capacitive Displacement Sensor project that you are working on in the lab, the capacitance of the transducer cannot be measured directly with a multimeter. We find the capacitance using the frequency of a square wave from an oscillating circuit with the following formula. C = 1.44/[ƒ (R1+2R2)] where fis the measured frequency. R1 and R2 are two resistances in the oscillating circuit. Assuming the following f=3kHZ; R]=1 MQ; R2=2MQ; the error introduce by each component is: ef= 0.001; RI=0.002; R2=0.005. Using error comination analysis method to find the overall fractional error of the indirectly measured C. (hint: Use the absolute fractional error method or SRSS method.)
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