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Vout A1 R1 R2 Figure Q4b: The control and amplifier circuitry in the Sensor head a) Using the above information and assuming a reference current (Idc)=250uA, draw a table of the resistance of a single PT-1000 sensor for the temperatures 0, 50, 100, 250, 300 °C and the de input signal this would generate at the input to amplifier A1 b) Including any noise produced by Idc (but excluding shot noise), re-draw the circuit diagram showing all sources of noise. c) Hence derive an expression for the voltage noise spectral density present at the output (Vout) of the amplifier at a room temperature of 25 °C. Clearly identify each source of noise in your calculations and state any assumptions you make. d) The operational amplifier 'A1' is one of the three shown in Table Q4b: OpAmp Vn (nV /VHz) in (fA/VHz) Amplifier A Amplifier B Amplifier C 1.3 1500 12 25 6.8 1200 Table Q4b If RI = 9002 and R2 = 1002 and without making detailed calculations, draw a table comparing the performance of each amplifier and identify which would to be most suitable for this application. Explain your reasoning using a suitable diagram. e) Using your amplifier choice from part (d), and assuming the temperature of the sensor and the circuit = 25 °C, R1 = 9002, R2 = 1002, and Idc = 250uA, what level of noise from Idc could be tolerated that would increase the overall noise appearing at the output (Vout) by +3dB? PHYSICAL CONSTANTS Absolute zero should be assumed as -273.15 °C; Boltzmann Constant = 1.38 x 10-23 J.K-

Vout A1 R1 R2 Figure Q4b: The control and amplifier circuitry in the Sensor head a) Using the above information and assuming a reference current (Idc)=250uA, draw a table of the resistance of a single PT-1000 sensor for the temperatures 0, 50, 100, 250, 300 °C and the de input signal this would generate at the input to amplifier A1 b) Including any noise produced by Idc (but excluding shot noise), re-draw the circuit diagram showing all sources of noise. c) Hence derive an expression for the voltage noise spectral density present at the output (Vout) of the amplifier at a room temperature of 25 °C. Clearly identify each source of noise in your calculations and state any assumptions you make. d) The operational amplifier 'A1' is one of the three shown in Table Q4b: OpAmp Vn (nV /VHz) in (fA/VHz) Amplifier A Amplifier B Amplifier C 1.3 1500 12 25 6.8 1200 Table Q4b If RI = 9002 and R2 = 1002 and without making detailed calculations, draw a table comparing the performance of each amplifier and identify which would to be most suitable for this application. Explain your reasoning using a suitable diagram. e) Using your amplifier choice from part (d), and assuming the temperature of the sensor and the circuit = 25 °C, R1 = 9002, R2 = 1002, and Idc = 250uA, what level of noise from Idc could be tolerated that would increase the overall noise appearing at the output (Vout) by +3dB? PHYSICAL CONSTANTS Absolute zero should be assumed as -273.15 °C; Boltzmann Constant = 1.38 x 10-23 J.K-

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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Vout A1 Idc R1 R2 Figure Q4b: The control and amplifier circuitry in the Sensor head a) Using the above information and assuming a reference current (Idc)=250uA, draw a table of the resistance of a single PT-1000 sensor for the temperatures 0, 50, 100, 250, 300 °C and the de input signal this would generate at the input to amplifier A1 b) Including any noise produced by Idc (but excluding shot noise), re-draw the circuit diagram showing all sources of noise. c) Hence derive an expression for the voltage noise spectral density present at the output (Vout) of the amplifier at a room temperature of 25 °C. Clearly identify each source of noise in your calculations and state any assumptions you make. d) The operational amplifier 'A1° is one of the three shown in Table Q4b: OpAmp Vn (nV /VHz) in (fA/NHz) Amplifier A Amplifier B Amplifier C 1.3 1500 12 25 6.8 1200 Table Q4b If R1 = 9002 and R2 = 1002 and without making detailed calculations, draw a table comparing the performance of each amplifier and identify which would to be most suitable for this application. Explain your reasoning using a suitable diagram. e) Using your amplifier choice from part (d), and assuming the temperature of the sensor and the circuit = 25 °C, R1 = 9002, I level of noise from Idc could be tolerated that would increase the overall noise = 100N, and Idc = 250uA, what appearing at the output (Vout) by +3dB? PHYSICAL CONSTANTS Absolute zero should be assumed as -273.15 °C; Boltzmann Constant = 1.38 x 10-23 J.K-'
Transcribed Image Text:Vout A1 Idc R1 R2 Figure Q4b: The control and amplifier circuitry in the Sensor head a) Using the above information and assuming a reference current (Idc)=250uA, draw a table of the resistance of a single PT-1000 sensor for the temperatures 0, 50, 100, 250, 300 °C and the de input signal this would generate at the input to amplifier A1 b) Including any noise produced by Idc (but excluding shot noise), re-draw the circuit diagram showing all sources of noise. c) Hence derive an expression for the voltage noise spectral density present at the output (Vout) of the amplifier at a room temperature of 25 °C. Clearly identify each source of noise in your calculations and state any assumptions you make. d) The operational amplifier 'A1° is one of the three shown in Table Q4b: OpAmp Vn (nV /VHz) in (fA/NHz) Amplifier A Amplifier B Amplifier C 1.3 1500 12 25 6.8 1200 Table Q4b If R1 = 9002 and R2 = 1002 and without making detailed calculations, draw a table comparing the performance of each amplifier and identify which would to be most suitable for this application. Explain your reasoning using a suitable diagram. e) Using your amplifier choice from part (d), and assuming the temperature of the sensor and the circuit = 25 °C, R1 = 9002, I level of noise from Idc could be tolerated that would increase the overall noise = 100N, and Idc = 250uA, what appearing at the output (Vout) by +3dB? PHYSICAL CONSTANTS Absolute zero should be assumed as -273.15 °C; Boltzmann Constant = 1.38 x 10-23 J.K-'
In chemical processing it is very important to measure the temperature of fluids accurately. A common method of achieving this is to use a Platinum Thin Film temperature sensor that is placed into a probe into the liquid flowing in a specially modified pipe union that has the temperature sensor mounted in a sensor head onto the union (figure Q4a). One drawback of using these platinum sensors is their accuracy maybe affected by the length of connecting cable so it is common to mount the control circuitry and amplifier inside the sensor head. A typical circuit diagram is shown in figure Q4b. Q4 Vo PT-1000 Sensor Figure Q4a: Pipe Union showing PT-1000 sensor arrangement While the accuracy of the platinum thin film device is very predictable, it is not linear and a PT-1000 device responds to temperature according to the Callendar-Van Dusen equation:- Rr = Ro(1 + 3.908 · 10-3 . T – 5.772 · 10-7 - T²) Where:- Rr= resistance of the sensor at a given temperature (T') Ro= 1000 Q measured at the reference temperature (0 °C) T= Temperature in degrees Centigrade (°C)
Transcribed Image Text:In chemical processing it is very important to measure the temperature of fluids accurately. A common method of achieving this is to use a Platinum Thin Film temperature sensor that is placed into a probe into the liquid flowing in a specially modified pipe union that has the temperature sensor mounted in a sensor head onto the union (figure Q4a). One drawback of using these platinum sensors is their accuracy maybe affected by the length of connecting cable so it is common to mount the control circuitry and amplifier inside the sensor head. A typical circuit diagram is shown in figure Q4b. Q4 Vo PT-1000 Sensor Figure Q4a: Pipe Union showing PT-1000 sensor arrangement While the accuracy of the platinum thin film device is very predictable, it is not linear and a PT-1000 device responds to temperature according to the Callendar-Van Dusen equation:- Rr = Ro(1 + 3.908 · 10-3 . T – 5.772 · 10-7 - T²) Where:- Rr= resistance of the sensor at a given temperature (T') Ro= 1000 Q measured at the reference temperature (0 °C) T= Temperature in degrees Centigrade (°C)
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