Difference between revisions of "EGR 224/Spring 2009/Final"
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− | This page is the review sheet for the Final Exam for EGR | + | This page is the review sheet for the Final Exam for EGR 224 for Spring, 2009. The final will be held Saturday, May 2nd, from 2-5PM in Teer 203, in accordance with the [http://www.registrar.duke.edu/registrar/studentpages/student/examspring2009.html Exam Schedule for Spring 2009] |
== HW 9 Issues == | == HW 9 Issues == |
Latest revision as of 21:45, 3 January 2013
This page is the review sheet for the Final Exam for EGR 224 for Spring, 2009. The final will be held Saturday, May 2nd, from 2-5PM in Teer 203, in accordance with the Exam Schedule for Spring 2009
HW 9 Issues
- Part 1
- Be sure to convert Hz to rad/s for all calculations! Also,
\(\omega=2\pi f\,\!\) - Putting a buffer right at the source isolates the source from the circuit and thus draws no power from it.
- While not on the test, note that for the
bode
command in MATLAB, a first-order numerator needs a trailing zero. That is, a numerator of R/L * s would be[R/L 0]
- Be sure to convert Hz to rad/s for all calculations! Also,
Coverage
This exam is cumulative. Note, however, that specific questions about digital logic, sensors, actuators/motors, or Simulink will not appear on this final. The focus will be on the material presented in lectures 1-23.
- Circuit elements
- Know the voltage/current model equations for R, L, and C
- Know continuity condition for L and C
- Properly apply passive sign convention to circuits with R, L, C
- Determine instantaneous power for R, L, C circuits
- Circuit analysis
- Label circuit and determine equations using NVM, BCM, MCM
- Determine Thevenin and Norton equivalent circuits; for resistive circuits, be able to draw the components - for reactive circuits, be able to calculate their equivalent impedance at a single frequency
- Use superposition to subdivide analysis into several simpler parts
- Be able to use voltage and current division in general, and in concert with supoerposition in particular
- DC steady-state analysis of reactive circuits - all sources must be DC
- Capacitors act like open circuits
- Inductors act like short circuits
- AC steady-state analysis of reactive circuits
- Phasor analysis for single-frequency sources
- Phasor analysis coupled with superposition for circuits with sources at different frequencies - you can either do each individual component of all the sources independently or group components by frequency.
- Impedance and transfer functions
- Passive Filters
- Be able to determine filter type by transfer function
- 1st order filters
- Determine cutoff frequency (half-power or -3dB frequency) and filter type
- 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
- 2nd order filters
- Be able to determine filter type given a circuit
- For high-pass or low-pass filters, be able to determine cutoff (half-power or quarter-power if repeated root) frequencies
- For band-pass filters, be able to determine bandwidth, quality, damping ratio, cutoff frequencies, logarithmic center frequency, and linear center frequency
- For band-reject filters, be able to determine quality, damping ratio, cut-on frequencies, logarithmic center frequency, and linear center frequency
- Be able to design a band-pass or band-reject filter given sufficient information (some combination of bandwidth, quality, damping ratio, cutoff/cut-on frequencies, logarithmic center frequency, and linear center frequency. You will not be asked to build any passive filter that requires more than three components.
- Bode plots
- Be able to sketch Bode magnitude 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)
- 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
- DC Step response of 1st order circuit
- Determine initial conditions using continuity requirements
- Determine differential equation using time or frequency techniques
- Determine solution to 1st order differential equations with constant forcing functions
- Accurately sketch solution to 1st order differential equations with constant forcing functions including slopes at time constants
- Higher order circuits
- Determine transfer functions between a source and an output
- Determine differential equation using time or frequency techniques
- Operational Amplifiers
- Know ideal op-amp assumptions and their applications in negative-feedback circuits
- Design 1st and 2nd order filters based on filter parameters such as passband gain, half-power or quarter-power frequencies, natural frequency, linear center frequency, or bandwidth.
- Design circuits to perform addition, subtraction, scalar multiplication based on summation, difference, inverting and noninverting configurations.
- Laplace Transforms
- Know the MOAT forwards and backwards and be able to use it to solve problems using Laplace transforms.
- Be able to use partial fraction expansion to help with inverse Laplace transforms of simple frequency space representations.