View source for ECE 110/Fall 2020/Test 2

This page contains the list of topics for [[ECE 110/Fall 2022|ECE 110]] Test 2.  Post questions or requests for clarification to the discussion page.  Note: In Fall of 2022 we did not discuss Bode plots - any problem you see on a previous test that refers to a Bode plot will not be part of your test.
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== Previous Tests==
Previous ECE 110 tests are available at [http://classes.pratt.duke.edu/Gustafson/OmnibusTestBank.html Dr. G's Big Box of Random].  Note that the instructions on the front of the test will be very similar to the instructions on the front of the Fall 2019 test.  Furthermore, the following problems from other classes' tests may be relevant.
* BME 153 Test 1
** IV
* BME 153 Test 2
** I, III, IV
* ECE 61 Test 2 Spring 2001 (no solutions)
** I, V - though now, sources may be sinusoids instead of constants and you could be asked to find ACSS
* ECE 61 Test 2 Fall 2001
** I, IV - though now, sources may be sinusoids instead of constants and you could be asked to find ACSS
* ECE 61 Test 3 Spring 2001
** I, II, IV, V, VII
* ECE 61 Test 3 Fall 2001
** I, II, III, V
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<!-- * ECE 61 Test 4 Spring 2001
** I* (you can find the voltage between A and B)
* ECE 61 Test 4 Fall 2001
** I* (you can find the voltage between A and B)
* ECE 110 Test 1 Fall 2012
** V
* ECE 110 Test 1 Spring 2013
** The idea of V, but with a capacitor somewhere
* ECE 110 Test 2 Fall 2012
** III
* ECE 110 Test 2 Spring 2013
** I, II, III; no inductors
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* EGR 119 Test 1 Spring 2008
** III
* EGR 119 Test 2 Spring 2008
** II, III,  
* EGR 119 Test 1 Spring 2009
** V
* EGR 119 Test 2 Spring 2009
** I(1)
* EGR 119 Test 1 Spring 2010
** IV
* EGR 119 Test 2 Spring 2010
** I, II, III but no op-amps
* EGR 119 Test 1 Spring 2011
** IV
* EGR 119 Test 2 Spring 2011
** I(2), II
* EGR 119 Test 1 Spring 2012
** IV
* EGR 119 Test 2 Spring 2012
** I(1-4) (use j<math>\omega</math> instead of s), II, III(1)
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==Test II Fall 2022 Coverage==
While the test is necessarily cumulative, the focus will be on the topics below.
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# Superposition
## Be able to efficiently solve circuit problems by using superposition.  
## In life, remember that dependent sources must be included in the different subdivisions of a superposition problem regardless of the independent source or sources you leave on. On the test however, the superposition problem -- if there is one -- will not have a dependent source.
## Note that power can only be calculated once the superposition process is over and the '''total''' voltages or currents have been found.
# Thévenin and Norton Equivalent Circuits
## Be able to solve for the source and resistance of a Thévenin or Norton Equivalent Circuit for a circuit comprised of independent and dependent sources and resistors. 
## Be able to draw both Thévenin and Norton Equivalent Circuits.  
## Be able to use Thévenin and Norton Equivalent Circuits to determine the maximum power delivered to a load and the required resistance of that load to receive the maximum power. 
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# Reactive elements (Capacitors and Inductors)
## Know the main model equation relating voltage and current and what it means for the voltage across a capacitor or the current through an inductor
## 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.
## Be able to represent a circuit with reactive elements in the DC Steady State
## Be able to determine a model equation for circuits comprised of R, C, and sources or R, L, and sources
# DC Switched circuits / constant source circuits
## Determine conditions just before something changes, just after something changes, and as time goes to infinity given piecewise constant forcing functions
## Set up and solve a first-order differential equation with initial conditions and constant forcing functions
## '''Accurately''' sketch the solution to switched circuit / constant source circuit
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# 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 (no voltage drop across the input terminals and no current into/out of the input terminals).
## Know how to analyze and build buffers, noninverting configurations, and inverting configurations.
## Know how to analyze non-standard configurations (i.e. every other kind of circuit with an OpAmp, including those with reactive elements).
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# Complex numbers and sinusoids
## Be able to efficiently perform mathematical operations on complex numbers with a calculator
## Be able to represent values in both rectangular and polar form with a calculator
## Seriously - there will not be enough time to do bunches or subordinate calculations by hand that a calculator can do in one step!
# Impedance <math>\Bbb{Z}=R+jX</math>, Admittance <math>\Bbb{Y}=G+jB</math>, Resistance <math>R</math>, Reactance <math>X</math>, Conductance <math>G</math>, Susceptance <math>B</math>
## Be able to find an equivalent impedance symbolically or numerically
## Given an impedance, be able to build a passive network or R, L, and/or C with the given impedance
## Given a passive network, be able to find the resonant frequency of that network.
# AC Steady State / Phasor Analysis
## Draw circuit in the frequency domain
## Determine a series of equations using NVM, MCM, and/or BCM to solve relationships in the frequency domain
## For "simple" circuits, be able to determine output phasors numerically and translate them into time domain
## 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!
# Transfer Functions and Filters
## Be able to find transfer functions between outputs and inputs in the frequency domain.
## Use the derivative property to get differential equations from transfer functions or to get transfer functions from differential equations
## Be able to determine a filter type based on magnitude information (for example, from a magnitude plot)
## For voltage-to-voltage RC or RL circuits
### Be able to identify filter type and cutoff frequency
### Be able to design an RC or RL circuit to make a high-pass or low-pass filter with a particular cutoff frequency

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## Be able to sketch an accurate straight-line approximation of the Bode magnitude and phase plots for transfer functions not involving underdamped roots (i.e. involving only constants, $$j\omega$$, and corner terms

## Be able to determine transfer functions given a straight-line approximation to the Bode magnitude plot assuming no underdamped roots
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==Specifically Not On The Test==
* Op Amps
* Fourier Series
* Analytic and algebraic topology of locally Euclidean metrization of infinitely differentiable Riemannian manifold