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= Figure 1 shows a potentiometer used to measure the displacement and velocity of an elevator. The elevator shall travel at a speed up to 10m/s and the total travel distance 1 = 100m. In the design, Rs = 99MN and the total resistance of the potentiometer Rp 1M. x is the displacement of the elevator. A voltage follower is used to isolate the sensor from the remaining circuit and a differentiating amplifier circuit is used to obtain the velocity, in which Rf = 1MQ and C= 1μF. The sensor circuit then is connected to a filter circuit as shown in Figure 2 to remove the noise due to the vibration from the actuator. In the filter, R₁ = R₂ = 10000 and C₁ = C₂ = 100μF. Please 1. Find the sensitivity of the sensor circuit in terms of the velocity Sy Vi

= Figure 1 shows a potentiometer used to measure the displacement and velocity of an elevator. The elevator shall travel at a speed up to 10m/s and the total travel distance 1 = 100m. In the design, Rs = 99MN and the total resistance of the potentiometer Rp 1M. x is the displacement of the elevator. A voltage follower is used to isolate the sensor from the remaining circuit and a differentiating amplifier circuit is used to obtain the velocity, in which Rf = 1MQ and C= 1μF. The sensor circuit then is connected to a filter circuit as shown in Figure 2 to remove the noise due to the vibration from the actuator. In the filter, R₁ = R₂ = 10000 and C₁ = C₂ = 100μF. Please 1. Find the sensitivity of the sensor circuit in terms of the velocity Sy Vi

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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Question 2 Figure 1 shows a potentiometer used to measure the displacement and velocity of an elevator. The elevator shall travel at a speed up to 10m/s and the total travel distance 1 = 100m. In the design, Rs = 99MN and the total resistance of the potentiometer Rp = 1MN. x is the displacement of the elevator. A voltage follower is used to isolate the sensor from the remaining circuit and a differentiating amplifier circuit is used to obtain the velocity, in which Rf = 1MN and C= 1μF. The sensor circuit then is connected to a filter circuit as shown in Figure 2 to remove the noise due to the vibration from the actuator. In the filter, R₁ = R₂ = 10000 and C₁ = C₂ = 100µF. Please 1. Find the sensitivity of the sensor circuit in terms of the velocity S₁ = Vi x 2. Determine the transfer function of the filter circuit: H₁ (s) = vo(s) vi(s)* 3. Determine the type of filter (include its order), the bandpass gain, cut-off frequency and quality factor of H₁ (s). 4. Please determine the minimum frequency required for the A/D converter so that a computer can recover the frequency information of the elevator's velocity. Determine the transfer function between the displacement x and v: H₂(s) 5. 6. + Determine the type of filter (include its order), the bandpass gain, cut-off frequency and quality factor of H₂(s). 10V Rs ww v₁ (1) R₂ R₁ Figure 1. C₁ R₂ Figure 2. C₂ vo(1) = Rr vo(s) x(s)* vi(t)
Transcribed Image Text:Question 2 Figure 1 shows a potentiometer used to measure the displacement and velocity of an elevator. The elevator shall travel at a speed up to 10m/s and the total travel distance 1 = 100m. In the design, Rs = 99MN and the total resistance of the potentiometer Rp = 1MN. x is the displacement of the elevator. A voltage follower is used to isolate the sensor from the remaining circuit and a differentiating amplifier circuit is used to obtain the velocity, in which Rf = 1MN and C= 1μF. The sensor circuit then is connected to a filter circuit as shown in Figure 2 to remove the noise due to the vibration from the actuator. In the filter, R₁ = R₂ = 10000 and C₁ = C₂ = 100µF. Please 1. Find the sensitivity of the sensor circuit in terms of the velocity S₁ = Vi x 2. Determine the transfer function of the filter circuit: H₁ (s) = vo(s) vi(s)* 3. Determine the type of filter (include its order), the bandpass gain, cut-off frequency and quality factor of H₁ (s). 4. Please determine the minimum frequency required for the A/D converter so that a computer can recover the frequency information of the elevator's velocity. Determine the transfer function between the displacement x and v: H₂(s) 5. 6. + Determine the type of filter (include its order), the bandpass gain, cut-off frequency and quality factor of H₂(s). 10V Rs ww v₁ (1) R₂ R₁ Figure 1. C₁ R₂ Figure 2. C₂ vo(1) = Rr vo(s) x(s)* vi(t)
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