ECE 110/Spring 2014/Test 2

This page contains the list of topics for ECE 110 Test 2. Post questions or requests for clarification to the discussion page.

Previous Tests

Previous ECE 110 tests are available at 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 2012 test. Furthermore, the following problems from other classes' tests may be relevant (draft version as of 3/28/2014) with the exception that any problem involving inductors or inductors and capacitors will only involve capacitors. The *ideas* and processes are very similar, and we have covered inductors in enough depth that you should understand the problems.

• BME 153 Test 1
  • IV
• BME 153 Test 2
  • I *except* inductor would not be used, III, IV (also no inductor)
• 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; no inductors
• 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; no inductors
• ECE 61 Test 3 Spring 2001
  • I, II, IV, V, VII; no inductors
• ECE 61 Test 3 Fall 2001
  • I, II, III, V; no inductors
• 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

Test II Spring 2014 Coverage

While the test is necessarily cumulative, the focus will be on the material starting just after NVM/BCM and going through Fourier Series. Items in HW 4-8 Parts I and II will be highly relevant.

1. Capacitors
   1. Know main model equation relating voltage and current and what it means for the voltage across a capacitor
   2. Know the equation for energy stored in a capacitor. Note that if you use superposition to find the capacitor voltage, you must wait until the end of the superposition process, when you have the total voltage, to find the energy stored.
2. Switched circuits / constant source circuits
   1. Determine initial conditions given constant forcing functions
   2. Set up and solve first-order differential equation with initial conditions and constant forcing functions
   3. Accurately sketch solution to switched circuit / constant source circuit
3. Complex numbers and sinusoids
4. Impedance \(\Bbb{Z}=R+jX\), Admittance \(\Bbb{Y}=G+jB\), Resistance \(R\), Reactance \(X\), Conductance \(G\), Susceptance \(B\)
5. AC Steady State / Phasor Analysis
   1. Draw circuit in frequency domain
   2. Determine series of equations using NVM, MCM, and/or BCM to solve relationships in frequency domain
   3. For "simple" circuits, be able to determine output phasors numerically and translate into time domain
6. Frequency response, transfer functions
7. Linearity and superposition
   1. 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!
8. Filters
   1. First order (RC) only
   2. Determination of half-power frequency
   3. Building a circuit to implement a particular first-order filter
9. Fourier series
   1. Analysis of periodic signals comprised of sinusoids with frequencies at integer multiples of the fundamental frequency of the signal
   2. Analysis of periodic signals using analysis equation (will either be simple signal or can be left as integral)
   3. Determination of Fourier series coefficients for an output given a signal (or its Fourier series coefficients) and a circuit or a transfer function (real or ideal)
   4. Synthesis of periodic signals at output of a circuit given Fourier series coefficients

Specifically Not On The Test

1. Maple
2. MATLAB
3. Inductors