EGR 224/Spring 2021/Test 2

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This page is the review sheet for Test 2 for EGR 224 for Spring, 2021.

Coverage

While the test is, by nature, cumulative, there will be certain aspects of the Electrical Fundamentals of Mechatronics which form the core of this test. Specifically, topics from lectures 9-17, HW 5-8, and the accompanying labs. More specifically, topics include, but are not limited to,

  1. Reactive elements (Capacitors and Inductors)
    1. Know main model equation relating voltage and current and what it means for the voltage across a capacitor or the current through an inductor
    2. Know the equation for energy stored in a capacitor or an inductor. Note that if you use superposition to find the capacitor voltage or inductor current, you must wait until the end of the superposition process, when you have the total voltage or current, to find the energy stored.
  2. DC steady-state analysis of reactive circuits
    1. Be able to state the conditions for the DC Steady State and be able to identify if something is "illegal" or "weird" in this context
    2. Recall if the DCSS conditions are satisfied that capacitors act like open circuits inductors act like short circuits
  3. DC Switched circuits / constant source circuits
    1. Determine initial conditions given constant forcing functions
    2. Be able to determine the inductor voltage or capacitor current just after a condition in the circuit has changed (i.e. switch changes position or constant source changes...constant...
    3. Set up and solve a first-order differential equation with initial conditions and constant forcing functions
    4. Accurately sketch solutions to switched circuit / constant source circuit
  4. Complex numbers and sinusoids
    1. Be able to perform basic phasor analysis and calculations efficiently with your calculator or using Maple / Python as a calculator
    2. Seriously - do not spend 30 minutes randomly pushing buttons on a problem whose calculations should take under a minute
  5. AC Steady State / Phasor Analysis
    1. Draw circuits correctly in the frequency domain - be sure there is a clear difference in your time domain and frequency domain variables
    2. Determine a system of equations using NVM, MCM, and/or BCM to solve relationships in frequency domain (you will not be required to solve more than 2 simultaneous equations)
    3. For "simple" circuits (solvable with current or voltage division, Ohm's Law, or at most two equations), be able to determine output phasors numerically and translate into the time domain
    4. Use superposition to solve based on either different sources or different frequencies or both. Note that you can solve ACSS problems with sources of different frequencies, but you can only solve for one frequency at a time - do not mix phasors that represent signals at different frequencies! Solve for each frequency's time-domain, then add those time-domain representations at the end.
  6. Transfer Functions
    1. Be able to find transfer functions between outputs and inputs in the frequency domain.
    2. Use the derivative property to get a differential equation from a transfer function or a transfer function from a differential equation.
    3. Use the transfer function to figure out the magnitude ratio and phase differences between a single-frequency source and the resulting output signal.
  7. Filters
    1. Be able to determine filter type by transfer function based on magnitude information (for example, from a Bode plot)
    2. Be able to determine transfer functions given a straight-line approximation to the Bode magnitude plot assuming no underdamped roots
    3. 1st order filters
      1. Determine cutoff frequency (half-power or -3dB frequency) and filter type
      2. Be able to determine filter type given a circuit or design a circuit given a filter type. This type of question would be limited to voltage-to-voltage filters
    4. 2nd order filters
      1. Be able to determine filter type given a circuit
      2. For high-pass or low-pass filters, be able to determine cutoff (half-power) frequencies (no tricky cases)
      3. For band-pass filters, be able to determine bandwidth, quality, damping ratio, cutoff frequencies, logarithmic center frequency, and linear center frequency
      4. For band-reject filters, be able to determine quality, damping ratio, cut-on frequencies, logarithmic center frequency, and linear center frequency
      5. Be able to design a band-pass or band-reject filter's transfer function given sufficient information (some combination of bandwidth, quality, damping ratio, cutoff/cuton frequencies, logarithmic center frequency, and linear center frequency. You will not be required to design a circuit for a 2nd order filter.
  8. Bode plots
    1. Be able to sketch Bode magnitude and phase plot approximation for multiple zero/pole system assuming poles and zeros are at least a decade away from each other (i.e. no tricky cases)
    2. Be able to interpret Bode magnitude plot with respect to bandwidth, quality, damping ratio, cutoff/cut-on frequencies, logarithmic center frequency, and linear center frequency

Relevant Prior Test Questions

In all cases below, if there is a Laplace Transform or an Op-Amp problem, skip it From the Test Bank:

  • EE/ECE 61
    • Spring 2001 Test 2 (V)
    • Fall 2001 Test 2 (IV)
    • Spring 2001 Test 3 (I, IV, V)
    • Fall 2001 Test 3 (I, II, III)
  • ECE 280
    • Spring 2010 Test 1 (IV(c,d), V(c,d))
  • ECE 382
    • Spring 2007 Test 1 (I kind of..., V) - I will not have you do that much rote algebra
    • Spring 2008 Test 1 (IV a)
    • Spring 2009 Test 1 (Ia)
    • Spring 2010 Test 1 (I, II)
  • ECE 382 / ME 344
    • Spring 2011 Test 1 (I)
    • Spring 2012 Test 1 (I)
  • EGR 224
    • Spring 2008 Test 1 (I-III, V (a, b, d))
    • Spring 2008 Test 2 (I-III)
    • Spring 2009-2016 Test 2

Not on the test

  • Laplace Transforms
  • Operational Amplifiers
  • Digital logic

Questions

Post your questions by editing the discussion page of this article. Edit the page, then scroll to the bottom and add a question by putting in the characters *{{Q}}, followed by your question and finally your signature (with four tildes, i.e. ~~~~). Using the {{Q}} will automatically put the page in the category of pages with questions - other editors hoping to help out can then go to that category page to see where the questions are. See the page for Template:Q for details and examples.

External Links

References


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