# EGR 224/Spring 2012/Test 2

This page is the review sheet for Test 2 for EGR 224 for Spring, 2012.

## Contents

## 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 8-19 and the accompanying labs. More specifically, topics include, but are not limited to,

- Reactive elements (capacitors and inductors)
- Know the basic voltage/current relationships
- Know the continuity conditions

- DC steady-state analysis of reactive circuits
- 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
- 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) frequencies (no tricky cases)
- 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/cuton frequencies, logarithmic center frequency, and linear center frequency.

- 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

- Be able to sketch Bode magnitude plot approximation for multiple zero/pole system
- Frequency and Time Domain Relations
- Determine transfer functions between a source and an output
- Determine differential equation using time or frequency techniques

- Operational Amplifiers
- Know the requirements for the Ideal Op-Amp Assumptions (feedback between the output and the inverting input), the Ideal Op-Amp assumptions (infinite internal input impedance, zero internal output impedance, and infinite internal voltage gain), and the results of the Ideal Op-Amp Assumptions given feedback to the negative input (no voltage drop across the input terminals and no current into/out of the input terminals).
- Know how to analyze and build buffers, noninverting and inverting amplifiers, summing and difference amplifiers.
- Know how to analyze non-standard configurations (i.e. every other kind of circuit with an OpAmp, including those with reactive elements).

- Laplace Transforms
- Understand the concepts of impulse response and step response for LTI systems and their relationship to the transfer function
- Be able to set up and solve circuit equations using Bilateral Laplace Transform versions of impedance equations
- Be able to set up and solve circuit equations using Unilateral Laplace Transform equivalents of inductors and capacitors with initial conditions other than 0.
- Specifically, know how to replace a capacitor or inductor with a version storing no initial energy in series with an appropriate voltage source.

- 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 relatively simple frequency space representations. Note: no repeated roots will be given.

## Relevant Prior Test Questions

From the Test Bank:

- EE/ECE 61
- Spring 2001 Test 2 (IV, V)
- Fall 2001 Test 2 (III, IV)
- Spring 2001 Test 3 (I, III, IV, V)
- Fall 2001 Test 3 (I and II)

- 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 Test 2
- Spring 2010 Test 2
- Spring 2011 Test 2

## Not on the test

- Digital logic

## Questions

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## External Links

## References