Obafemi Awolowo University, Ile-Ife, Nigeria
Faculty of Technology
Department of Electronic & Electrical Engineering
EEE 521 – Instrumentation Engineering
2010/2011 Harmattan Semester Examination
INSTRUCTIONS:
Answer ANY FOURquestionsTime allowed: 3 Hours
Name: ______
Matric No.: ______
Question 1.
- During the calibration of a mercury-in-glass thermometer, the following data was obtained (T is temperature in °C and h is the height of the mercury in the glass in mm):
T (°C) / 0 / 5 / 10 / 15 / 20 / 25 / 30 / 35 / 40 / 45 / 50 / 55 / 60
h (mm) / 2 / 4.24 / 5.16 / 5.87 / 6.47 / 7 / 7.48 / 7.92 / 8.32 / 8.71 / 9.07 / 9.42 / 9.75
- Is the thermometer linear? (2 marks)
- What is the approximate sensitivity of the thermometer when measuring 10°C? (2 marks)
- What is the approximate sensitivity of the thermometer when measuring 50°C? (2 marks)
- Does the instrument have any bias? (2 marks)
- After the calibration process is complete for a certain thermometer, the transient response analysis of the thermometer shows that it is a single-time-constant instrument. It has a time constant of 5 seconds and a gain 1. If the thermometer is reading 0°C and then it is suddenly thrown into a pot of water which is at a temperature of 50°C,
- What will be the error (in °C) in the reading of the thermometer after 5 seconds and 10 seconds respectively? (3 marks)
- How long will it take before the reading of the thermometer to have a percentage error less than 1 %? (3 marks)
- Draw a Wheatstone bridge circuit which can be used to measure the resistance of a strain gauge. Find the calibration of the system when the bridge circuit is operated in the deflection mode. Find the sensitivity of the instrument with respect to a change in the strain gauge’s resistance. (6 marks)
Question 2.
- Suppose that the components of the circuit shown in Figure 1 have the following values:R1 = 400Ω; R2 = 600 Ω; R3 = 1000 Ω; R4 = 500 Ω; R5 = 1000 Ω. The voltage across AB is measured by a voltmeter whose internal resistance is 9500. What is the measurement error (in terms of E0) caused by the resistance of the measuring instrument? (5 marks)
Figure 1
- A spring balance is calibrated in an environment at a temperature of 20°C and has thefollowing deflection/load characteristic:
Load (kg) / 0 / 1 / 2 / 3
Deflection (mm) / 0 / 20 / 40 / 60
It is then used in an environment at a temperature of 30°C and the following deflection/load characteristic is measured.
Load (kg) / 0 / 1 / 2 / 3Deflection (mm) / 5 / 27 / 49 / 71
- Determine the sensitivities at 20°C and at 30°C. (2 marks)
- Determine the total zero drift and sensitivity drift at 30°C. (2 marks)
- Determine the zero drift and sensitivity drift per °C change in ambient temperature. (2 marks)
- Determine the total zero drift and sensitivity drift at 10°C. (2 marks)
- How can we minimize systematic error in measurement? (3 marks)
- Define the following: (4 marks)
- Systematic error
- Bias
- Random error
- Precision
Question 3.
- Draw three diagrams showing ways in which capacitance can be used to measure displacement. In each case, give the mathematical relationship between the displacement and the capacitance.
(6 marks) - In the measurement of the levelof a liquid or solid in a container, we may make use of level switches or a continuous level instrument. Explain the difference between these two types of instruments, using examples where possible. (6 marks)
- Describe,with the aid of diagrams, two ways in which you can measure the height of rice in a silo.
(4 marks) - Describe the operation of an optical encoder. (4 marks)
Question 4.
- Explain why signal conditioning is necessary.Give three characteristics which we would love our signal variable to have.(5 marks)
- What is the opposite of a single-ended signal? Differentiate between a single-ended signal and its opposite. Why do we prefer single-ended signals? (4 marks)
- What is the dynamic range of a 12-bit ADC? (2 marks)
- Figure 2 shows a temperature measuring instrument. The temperature sensor is linear. It has a resolution of 0.1 °C and measures temperatures from 0 °C to 100 °C. Its sensitivity is 10 mV/°C . The ADC is a 10-bit ADC and it has an input range from 0 to 10 V. The gain of the amplifier is 2.
- What is the dynamic range of the sensor? (1 mark)
- What is the resolution of the ADC in volts or millivolts? (1 mark)
- What is the resolution of the instrument in °C? (2 marks)
- Why is there a difference between the resolutions of the sensor and of the instrument?
(2 marks) - What can be done to give the instrument a maximum resolution? (2 marks)
- Why can’t the amplifier have a gain of 20? (1 mark)
Figure 2
Question 5.
- What are design specifications? Why are they important? (3 marks)
- What are performance specifications? Give three uses of performance specifications. (3 marks)
- What are standard specifications? Why are they important? ( 2 marks)
- Do I have to use standard specifications in my designs? Explain. (2 marks)
- Discuss two approaches to research. (2 marks)
- Give four necessary inputs to a design system and discuss how these can be harnessed to ensure creativity in the design process. (8 marks)
Question 6.
- Discuss two ways in which nano-instruments can be manufactured. (6 marks)
- Why is nanotechnology attractive to instrumentation engineering? (4 marks)
- Discuss two ways in which a nanoparticle of gold can differ from a bar of gold giving reasons why these differences exist. (6 marks)
- Discuss one application to which nanotechnology and/or nanoscience has already been used.
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