Assignment

Oscillator Circuits

1. Read Chapter 11 section 3 in the text.
2. Read Op Amp Oscillator Circuits.pdf
3. Answer the following questions:
   • List the general requirements for oscillation
   • How does an RC combination affect the phase plot of an oscillator
   • For a Wien-bridge oscillator
     1. Given R = 20Kohm and C = 10nF what is the frequency of oscillation?
     2. Given a required frequency of oscillation of f = 3kHz and R = 5kohm, what should the value of C be?

Save all work in a Word document with the title: “HW6_StudentID”, with your student id substituted in the file name.  Show all work for full credit.Upload file “HW6_StudentID”

Lab

Oscillator Circuits

The purpose of this lab is to learn to use MultiSIM to construct and simulate oscillator circuits. Two oscillator circuits will be constructed and the effect of feedback resistance will be investigated in order to produce oscillation. Students will be asked to extend the concepts presented in order to modify the given circuit to allow for a variable output frequency.

1. Watch the video Week 6 – Oscillator Circuit
2. Read the section 11.3 and construct the two oscillator circuits in Figure 11.3 from the textbook and simulate the circuits.
3. Use the Agilent oscilloscope to observe the oscillations and measure the frequency.
4. Analyze the oscillations of Op-Amp and Comparator circuit and compare the Op-Amp circuit with that of the Comparator circuit.
5. Capture the screenshots showing oscillating output waveforms for each of the circuits.
6. Answer the following questions:
   1. What is the difference between Op-Amp circuit and Comparator circuit?
   2. Discuss some of the issues with this Op-Amp oscillations and explain the voltage swing and cause of potential failure of this circuit.
   3. What makes the comparator circuit oscillate and more ideal for the applications?
   4. Describe the operation of the comparator oscillator circuit and explain the difference in inverting and non-inverting waveforms of the comparator
   5. What is the significance of using comparator circuit to achieve sinusoidal oscillations?

Create a new word document called “Lab6_StudentID.docx” with your GID substituted into the file name.Verify all the measurements from simulation. Save the results and paste the screen captures in the word document. Make sure to answer the questions.Upload file “Lab6_StudentID” in Blackboard.

Assignment

Oscillator Circuits

1. Read Chapter 11 section 3 in the text.
2. Read Op Amp Oscillator Circuits.pdf
3. Answer the following questions:
   • List the general requirements for oscillation
   • How does an RC combination affect the phase plot of an oscillator
   • For a Wien-bridge oscillator
     1. Given R = 20Kohm and C = 10nF what is the frequency of oscillation?
     2. Given a required frequency of oscillation of f = 3kHz and R = 5kohm, what should the value of C be?

Save all work in a Word document with the title: “HW6_StudentID”, with your student id substituted in the file name.  Show all work for full credit.Upload file “HW6_StudentID”

Lab

Oscillator Circuits

The purpose of this lab is to learn to use MultiSIM to construct and simulate oscillator circuits. Two oscillator circuits will be constructed and the effect of feedback resistance will be investigated in order to produce oscillation. Students will be asked to extend the concepts presented in order to modify the given circuit to allow for a variable output frequency.

1. Watch the video Week 6 – Oscillator Circuit
2. Read the section 11.3 and construct the two oscillator circuits in Figure 11.3 from the textbook and simulate the circuits.
3. Use the Agilent oscilloscope to observe the oscillations and measure the frequency.
4. Analyze the oscillations of Op-Amp and Comparator circuit and compare the Op-Amp circuit with that of the Comparator circuit.
5. Capture the screenshots showing oscillating output waveforms for each of the circuits.
6. Answer the following questions:
   1. What is the difference between Op-Amp circuit and Comparator circuit?
   2. Discuss some of the issues with this Op-Amp oscillations and explain the voltage swing and cause of potential failure of this circuit.
   3. What makes the comparator circuit oscillate and more ideal for the applications?
   4. Describe the operation of the comparator oscillator circuit and explain the difference in inverting and non-inverting waveforms of the comparator
   5. What is the significance of using comparator circuit to achieve sinusoidal oscillations?

Create a new word document called “Lab6_StudentID.docx” with your GID substituted into the file name.Verify all the measurements from simulation. Save the results and paste the screen captures in the word document. Make sure to answer the questions.Upload file “Lab6_StudentID” in Blackboard.

Assignment

Mechanical Sensors

Work the problems below. To receive any credit, you must show all work. You may submit your work in a word processing document or in a pdf file. Graphic files are not acceptable submissions. Your file submission document should be entitled Week4AYourGID (replace YourGID with your specific GID).

1. A copper metal wire is used as a strain gauge. The resistivity is 1.68×10-8 Ω.m at 20. The length and cross-sectional area of the wire are 5mm and 4*10-4 m2. The material elongates by an amount of 0.2mm in 0.2mm increments until it reaches 6mm in length. Assuming the volume remains constant, calculate the resistance at each length. You should use the standard equation for the resistance of a metal. What is that equation? Fill in the table below. Show all calculations. Calculate the difference in resistance between the resistance at each length and the resistance before strain is added. Also, calculate the change in resistance using the approximation found in equation 5.12 of your text. How does the change in length change the resistance of the gauge? Is it linear? Why or why not? (You can use Excel to create a plot and paste it in your submission if you want?) How good is the approximation?

LengthCross-sectional areaResistanceInitial resistance (at 5mm)Change in the resistanceChange in resistance using Eq.5.125mm     5.2mm     5.4mm     5.6mm     5.8mm     6mm     

1. A tensile force of 2150 N is applied to a 12 m steel beam with a cross-sectional area of 5.2 x 10-4 m2. Find the strain on the beam.
2. A strain gauge has a GF (Gauge factor) = 2.03 and R = 120 ohms and is made from wire with = 0.0034/℃ at 25℃. The dissipation factor is given as PD = 25mW/℃. What is the maximum current that can be placed through the strain gauge to keep self-heating errors below 1u (1 micro) of strain?
3. The atmospheric pressure is 14.5 psi. If the absolute pressure is 2,865.6 psi, what is the gauge pressure?
4. What is the gauge pressure in (a) kPa, and (b) N/cm2, at a distance 5.5 ft below the surface of a column of water?
5. What is the flow rate in liters per second through a pipe 32 cm in diameter, if the average velocity is 2.1 m/s?
6. A conveyer belt is traveling at 27 cm/s, and a load cell with a length of 0.72m is reading 5.4 kg. What is the flow rate of the material on the belt?

Lab

Mechanical Sensors Lab

1. A capacitive displacement sensor is used to measure rotating shaft wobble shown in the figure below.  The capacity is 520 pF with no wobble.  Find the change in capacity for a +0.035 to -0.035 mm shaft wobble.  Show your calculations.
2. To measure the displacement, assume that the capacitive pickoff in problem 1 is used in an AC bridge constructed of only capacitors.  Using 520pF for the bridge capacitors, find the offset bridge voltage for the two extremes of shaft wobble.   Assume a sine wave voltage input having an amplitude of 5 Vrms and a frequency of 5 kHz.  Rather than using an equation from the book, you are required to derive the offset bridge voltage using circuit analysis principles.  Show all your calculations. 
3. Using Multisim, construct and simulate the AC bridge of problem 2 for the two extreme conditions.  Be sure to provide screenshots.  Also, write a brief summary, noting if the results matched expected results.