Lab2_Quantifying_Electrical_Energy_Handout

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University of Massachusetts, Lowell *

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3020

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Mechanical Engineering

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Dec 6, 2023

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pdf

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Department of Mechanical Engineering MECH.3020 University of Massachusetts Lowell Laboratory 2 MECH. 3020 P a g e 1 | 6 MECH.3020 Laboratory 2 Quantifying Electrical Energy Introduction Measurement engineering is defined as the proper selection and use of instrumentation systems for the purpose of experimentation, condition monitoring, and process control. One of the main components of an instrumentation system is the transducer. The transducer is an analog device, which is used to convert a change in a mechanical or thermal quantity to an electric signal that can be quantified. The purpose of this experiment is to explore methods used to quantify electrical energy. Alternating Current (AC) and Direct Current (DC) signals will be generated with a function generator and a ±20 volt DC power supply, respectively. A digital multimeter and digital oscilloscope will be used to quantify various signals. The 3dB down point of the multimeter will be determined, indicating that measurement systems have a limited accuracy range depending on the frequency of the signal. The use of analog filters will also be explored as a tool for limiting the effects of signals outside the range of interest. Pre-Lab Assignment Pre-Lab assignments are to be done in your lab notebook following normal lab notebook documentation procedures. The Pre-Labs are not to be handed in but will be checked in the lab to assure that they have been completed. 1. Read chapter 1 and 3 - Wheeler and Ganji textbook 2 nd edition 2. From textbook - Problem 3.1 - An amplifier produces an output of 5 V when the input is 5 μV. What are the gain G and the decibel gain G dB ? 3. From textbook - Problem 3.2 - An amplifier has a gain of 60 dB. If the input voltage is 3mV, what is the output voltage? 4. OPTIONAL From textbook - Problem 3.13 - The output of a dc generator that produces a maximum voltage of 90 V is to be attenuated to 10 V for input to a filter. Specify values of the resistors in an attenuation network such that the loading error of the voltage at the output terminals of the generator is 0.1%. The output impedance of the generator is 10 Ω and the filter has an input impedance of 100 Ω. 5. A multimeter measures an 8.0 volt 100 Hz sine wave. Determine the peak-peak voltage, peak voltage, and period.
Department of Mechanical Engineering MECH.3020 University of Massachusetts Lowell Laboratory 2 MECH. 3020 P a g e 2 | 6 Assignment 1: Initialize the oscilloscope Tektronix TBS1032B The initialization of the oscilloscope is required to set the instrument to a point from which all measurements can be referenced. The following procedure should be used when the oscilloscope is used to quantify signals generated from transducers. Procedure 1. Turn the oscilloscope on. The power button is located on the top left side of the oscilloscope. 2. A previous configuration may be loaded. Load its default setup by pressing the “Default Setup” button. The message “Default setup recalled” will appear in the message bar. This bar is located at the bottom of the display. 3. The oscilloscope automatically applies to all signals an amplification factor of 10. This factor has to be changed to 1. Within the Vertical System Control area, push the yellow button “1” to bring the CH 1 setup menu up. Press the “Probe 10X Voltage” button. Then, press the “Attenuation 10X” button and by using the “Multipurpose” knob, change the attenuation fact or to “1X”. 4. Set the Vertical Scale to 5Volts/DIV 5. Set the Horizontal Scale to 5ms. The oscilloscope is now set to quantify electric signals. This initialization process should be employed whenever the oscilloscope is used to quantify the output from a transducer. Assignment 2: Quantifying Sinusoidal Waveforms A digital multimeter can be used to measure current, resistance, and the voltage of a signal. When an AC signal is recorded, the multimeter displays the root mean square (V rms ) value which can be used to obtain the peak (V p ), and peak-peak (V pp ) values of the wave. The oscilloscope is capable of measuring voltage only. However, unlike the multimeter, the oscilloscope displays the signal on a TFT-display allowing the period (T) and frequency (f) of the signal to be calculated. Procedure 1. Figure 1 shows the proper equipment configuration. The output of the function generator will be the input to the oscilloscope and multimeter. Connect the function generator to the oscilloscope’s CH. 1 . Function Generator Multimeter Oscilloscope CH. 1 Figure 1. Block diagram for Assignment 2
Department of Mechanical Engineering MECH.3020 University of Massachusetts Lowell Laboratory 2 MECH. 3020 P a g e 3 | 6 2. Turn the function generator on. Set the function generator to output a 100 Hz sinewave at a maximum amplitude. IMPORTANT: Whenever you generate a new signal, use the multimeter and oscilloscope to check the magnitude and frequency of your waveform. Note that the multimeter outputs RMS voltage for an AC signal. 3. Set the oscilloscope channel 1 COUPLING to AC . Press the yellow button ‘1’. Go to ‘Coupling DC’ menu and use the ‘Multipurpose’ knob to select ‘AC’. Adjust the Vertical and Horizontal Scale knobs to have at least one complete cycle. 4. Observe the signal with the digital multimeter and oscilloscope. Record the V pp , V p , V rms , and period of the signal. 5. Adjust the amplitude on the function generator to output a 5.0 V rms , 100 Hz. sinewave. Record the V pp , V p , V rms , and period. 6. Set the function generator output frequency to 10,000 Hz. Record the V pp , V p , V rms , and period. Assignment 3: Two Channel Analysis In Assignment 2, the digital multimeter was used to quantify the amplitude of an AC signal. In order to quantify a DC signal, the multimeter AC/DC switch must be set to DC. The oscilloscope is capable of measuring two signals simultaneously. Each signal can be comprised of an AC and DC component. If only the AC component of the signal is to be monitored, the oscilloscope should be set to AC coupling. If both the AC and DC components of the signal are desired, the oscilloscope should be set to DC coupling. The objective of this assignment is to introduce two channel analysis using the oscilloscope and examine the effects of AC/DC coupling. Procedure IMPORTANT: Whenever you generate a new signal, use the multimeter and oscilloscope to check the magnitude and frequency of your waveform. You may need to disconnect your cables from the oscilloscope in order to use the multimeter. 1. Figure 2 shows the proper equipment configuration. Adjust the cabling according to the new block diagram given below. The output from the function generator should remain connected to CH. 1 of the oscilloscope. At this time, connect the output from the power supply to CH. 2 of the oscilloscope. 2. Turn on CH. 2 by pressing the blue button ‘2’ if this is off . This will allow channels 1 and 2 to be viewed simultaneously.
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