EE223: Circuits II

EE223, Electrical Circuit Analysis II, is the second course in a series designed to provide engineering majors the tools to analyze and design passive analog circuits. This course introduces capacitors and inductors, and develops the natural and forced responses of circuits containing these elements. It introduces complex phasor notation in the context of sinusoidal steady-state analysis, and then further develops these concepts in the analysis of single and three-phase AC power. The laboratory portion of the course introduces the practical skills of designing, building, and debugging physical circuits in the context of relevant contemporary examples. It includes a major design 4-lab sequence in which cadets design and build a project of their choice. Prerequisite: C or better in EE 122. Corequisite: MA311. (3 lecture hours, 2 lab hours, 4 credit hours).


Lecture Schedule

In the following table, the readings and homework are assigned on the day listed and due on the following lesson. Some problem sets are downloaded below and completed by the student on engineering graph paper. Others are links to online electronically-graded problems that are due 10 minutes prior to the start of class - make sure you have saved your work by then. You must register with the Connect system to complete the online E-Assignment problems at the link in the paragraph below, which also grants you two years of access to the online text. The last page of the bookstore-bought text gives code to register with Connect; you can also purchase electronic access to the text with a Connect code immediately through this link.

All Connect assignments are available at this link.  Canvas assignments are available only through the Canvas portal.  All Circuits II videos available as a playlist here.

# Date Title Read Homework & Handouts
1 31 Aug Integration review none Syllabus
PS1, CP1, CP1Solutions
Video: ECE & Derivatives (7:45)     Slides
Video: ECE & Integrals (16:00)       Slides
Video: Piecewise Integrals (13:42)  Slides
2 2 Capacitors #1 6.1-6.2 PS2, CP2, CP2Solutions
Video: Capacitors Intuition (12:30)   Slides
Video: Capacitors Math (8:30)         Slides
Video: Caps Steady State (8:15)     Slides
3 5 Capacitors #2 6.3, 6.6 (not 6.6.3) PS3, CP3, CP3Solutions
Video: Caps keep V Steady (9:56)   Slides
4 9 Inductors 6.4, 6.5, 6.7 Connect (link to all Connect Assigments at the top of this assignment table). Try the ungraded example HW first.
Hint: If entering a function, not just a number, click the placeholder first to enter the function-entering mode.  CP4, CP4Solutions
Video: 01 - Intuition (12:16)
Video: 02 - Math (10:32)
Video: 03 - Math Example (3:13)
Video: 04 - Engineering Notation (3:39)
Video: 05 - DC Response Example (4:30)
Video: 06 - Construction (1:22)
Video: 07 - Complex Problem (17:29)
Whiteboards for videos
5 12 1st order circuits #1 7.1, 7.2 PS5, CP5, CP5Solutions
Video: 01 - Chapter 7 Overview (6 min)
Video: 02 - Intuition (6 min)
Video: 03 - Differential Equation (11 min)
Video: 04 - Time Constant (7 min)
Video: 05 - Switched DC Problem (16 min)
Whiteboards for videos
6 14 1st order circuits #2 7.3 Connect.  CP6, CP6Solutions
Video: Answer to a question on CP6 Problem 1a
Video: 1st Order Example (16:00)     Slides
First Order Solution Method Summary
7 16 Singularity functions 7.4 PS7, CP7, CP7Solutions
Video: 01 - Intution (18 min)
Video: 02 - Math (22 min)
Video: 03 - Circuit Example (5 min)
Video: Whiteboards
8 19 Step response of RC circuits 7.5 Work on next lecture's assignment
Video: 01 - Review (7 min)
Video: 02 - Example 1 - Find Vo (11 min)
Video: 03 - Example 1 - Find tau (5 min)
Video: 04 - Example 1 - Find Vinf (4 min)
Video: 05 - Example 1 - Find Vc (5 min)
Video: 06 - Example 1 - Find total (and demo!) (15 min)
Video: 07 - Example 2 (15 min)
Slides for above
9 21 Step response of RL circuits, 1st order opamps 7.6, 7.7 PS8-9
10 23 Opamps, applications 7.8, 7.9, 7.10 PS10, CP10, CP10Solutions
Video: 01 - Vo (13 min)
Video: 02 - tau (14 min)
Video: 03 - Vinf (5 min)
Video: 04 - vc (1 min)
Video: 05 - vout (16 min)
Slides for above
11 26 Review for Test 1 Review sheet Practice test
Video: 01 - Prob 1 (16 min)
Video: 02 - Prob 2 (12 min)
Video: 03 - Prob 3 - Find Vo (7 min)
Video: 04 - Prob 3 - Find tau (6 min)
Video: 05 - Prob 3 - Find Vinf (2 min)
Video: 06 - Prob 3 - Find Vc (2 min)
Video: 07 - Prob 3 - Find I (9 min)
Video: 08 - Prob 4 (13 min)
Video: 09 - Prob 5 - Find Vc (16 min)
Video: 10 - Prob 5 - Find Vo (5 min)
Slides for above
Practice test solutions
  27 Test 1 (during lab time)
12 28 Test 1 postmortem      
13 30 Initial conditions 8.1, 8.2 Work on Connect (due in 2 lectures), CP13-14, CP13-14Solutions
Handout of example
Video: 01 Big Picture (8 min)
Video: 02 2nd Order Circuits Overview (10 min)
Video: 03 ICs Method (18 min)
Video: 04 ICs Example, t<0 (9 min)
Video: 05 ICs Example, t=0, no derivatives (5 min)
Video: 06 ICs Example t=0, derivatives (11 min)
Slides for above
14 3 Oct Initial, final values 8.1,8.2 Above Connect due by start of next lecture
15 5 Source-free series RLC 8.3 Work on PS15-16 (due in 2 lectures), 2nd order methods, CP15-16, CP15-16Solutions
Video: 01 - Intuition (6 min)
Video: 02 - Big Picture (11 min)
Video: 03 - Initial Conditions (11 min)
Video: 04 - Natural Solution (underdamped) (5 min)
Video: 05 - Forced Solution (zero) (2 min)
Video: 06 - Total Solution (6 min)
Video: Whiteboards
16 7 Source-free parallel RLC 8.4 Above assignment due by start of next lecture 
17 10 Step response series RLC 8.5 Work on Connect (due in 2 lectures),
CP17-18, CP17-18Solutions
Video: 01 - Initial Conditions (17 min)
Video: 02 - Natural Solution (10 min)
Video: 03 - Forced Solution (2 min)
Video: 04 - Total Solution (8 min)
Video: Whiteboards
18 12 Step response parallel RLC 8.6 Above Connect due by start of next lecture
Video: 01 - Initial Conditions (17 min)
Video: 02 - Natural Solution (10 min)
Video: 03 - Forced Solution (2 min)
Video: 04 - Total Solution (8 min)
Video: Whiteboards
19 14 General 2nd order circuits 8.7, 8.11 PS19, CP19, CP19Solutions
Video: 01 - Problem 3 Initial Conditions(a) (19 min)
Video: 02 - Problem 3 Initial Conditions(b) (11 min)
Video: 03 - Problem 3 Rest of problem (9 min)
Video: Whiteboards
20 17 Review Test 2 Review sheet Practice test, Solutions to practice test
21 18 Test 2    
22 19 Sinusoids 9.1, 9.2 PS22, CP22, CP22Solutions
Video: 01 Intuition (4 min)
Video: 02 Frequency (5 min)
Video: 03 Phase (6 min)
Video: 04 Trigonometric Identities (4 min)
Video: 05 Rectangular to Polar (7 min)
Video: 06 Review (4 min)
Video: Whiteboards
23 21 Phasors 9.3 PS23, CP23, CP23Solutions, using your calculator
Video: 01 - Review Sin vs. Cos (7 min)
Video: 02 - Historical Perspective (5 min)
Video: 03 - Inuition (7 min)
Video: 04 - Demo (6 min)
Video: 05 - Complex Math Review (15 min)
Video: 06 - Calculators & Complex Numbers (5 min)
Video: 07 - Applications (9 min)
Video: Whiteboards
24 24 RLC impedance 9.4-7, 9.9 Connect, CP24, CP24Solutions
25 26 Phasor nodal analysis 10.1, 10.2 PS25, CP25, CP25Solutions
Video: 01 - Overview (2 min)
Video: 02 - Nodal Review (12 min)
Video: 03 - Nodal Example (20 min)
Video: Whiteboards
26 28 Phasor mesh analysis 10.3 PS26, CP26, CP26Solutions
Video: 01 Mesh Review (6 min)
Video: 02 Phasor Mesh Dep Source Ex (17 min)
Video: 03 Phasor Impedance Ex (8 min)
Video: 04 Phasor Supermesh Ex (9 min)
Video: Whiteboards
27 1 Nov More phasor analysis techniques 10.4, 10.5 Connect, CP27, CP27Solutions
Video: 01 Source Transforms (7 min)
Video: 02 Superposition - Theory (4 min)
Video: 03 Superposition - Example, same freqs (5 min)
Video: 04 Superposition - Example, diff freqs (4 min)
Video: 05 Superposition - Example, real world (2 min)
Video: 06 - CP1 Superposition (7 min)
Video: 07 - CP2 Source Transform (4 min)
Video: Whiteboards
28 2 Phasors: Thevenin & Norton 10.6 PS28, CP28, CP28Solutions
29 4 Phasors: Opamps and Spice CP29, CP29Solutions
Video: 01 Opamp Review (3 min)
Video: 02 Opamp Example (17 min)
Video: 03 Spice and Phasors (3 min)
Video: 04 Spice Example 1 (11 min)
Video: 05 Spice Example 2 (9 min)
Video: Whiteboards
30 7 Review for Test 3 Review sheet Practice test
Practice test solutions
31 8 lab Test 3    
32 14 Instant & average power 11.1, 11.2 PS32
33 16 Monday classes meet
Maximum power transfer and RMS
11.3, 11.4 PS33, CP33, CP33Solutions
Video: 01 Review (7 min)
Video: 02 RMS Power (21 min)
Video: 03 Max Power Theorem (11 min)
Video: 04 Max Power Example (11 min)
Video: Whiteboards
34 18 Apparant power and power factor 11.5 PS34, CP34, CP34Solutions
Video: 01 Question on RMS Power (10 min)
Video: 02 Review of Average Power, RMS (6 min)
Video: 03 Apparent Power and Power Factor (10 min)
Video: 04 Example Problem (7 min)
Video: 05 Collaborative Problem (9 min)
Video: Whiteboards
35 28 Complex power 11.6 Connect, CP35, CP35Solutions
Video: 01 Review (5 min)
Video: 02 Complex Power (5 min)
Video: 03 Power Triangle (3 min)
Video: 04 Reactive Power Math (8 min)
Video: 05 Reactive Power Intuition (7 min)
Video: 06 Demonstration (6 min)
Video: Whiteboards
36 30 Complex power correction 11.8 Connect, CP36, CP36Solutions
37 2 Dec Polyphase power 12.1,12.2 none
Video: 01 Single Phase (9 min)
Video: 02 Dual Phase (7 min)
Video: 03 Three Phase (12 min)
Video: 04 Connections (4 min)
Video: 05 Sqrt(2) vs. Sqrt(3) (2 min)
Video: 06 3 Phase in Time Domain (2 min)
Video: Whiteboards
38 5 Ideal transformers 13.5,13.9 review for final exam
CP38Problems And Solutions
Video: 01 Intuition (16 min)
Video: 02 Thevenin Equivalent (7 min)
Video: 03 Impedance Matching (14 min)
Video: 04 Power Transmission (14 min)
Video: Whiteboards
39 7 Field trip: polyphase power at VMI none review for final exam
40 9 Final exam review, Test Block 1, admin Review sheet Practice final exam
Practice final exam solutions
Video: Problem 1 - First Order (18 min)
Video: Problem 2 - Lab Problem (17 min)
Whiteboards for entire practice final exam
41 12 Final exam review, Test Block 2 Video: Problem 3 - Second Order (18 min)
Video: Problem 4 - Phasors (7 min)
Whiteboards for entire practice final exam
42 14 Final exam review, last test block (power) Video: Problem 5 - Complex Power (15 min)
Video: Problem 6a - Transformers (7 min)
Video: Problem 6b - Transformers (2 min)
Video: Problem 6c - Transformers (6 min)
Video: Problem 6d - Transformers (4 min)
Whiteboards for entire practice final exam
  20 Dec Final Exam 1400 - 1700  

Lab Schedule

In the following table the lab occurs on the given date, the prelab is due on that date, and the lab report is due on the following lesson. More information on lab policies are in the syllabus.

# Date Title Handouts
0 30 Aug Class, lab policies Lab report format,
LTSpice walkthrough
1 6 Sep Basic instrumentation, build a DAC DAC Lab
2 13 Use of the oscilloscope Oscilloscope Lab
3 20 First order circuits 1st Order Circuits Lab,
LTSpice walkthrough
4 27 Test 1
5 4 Oct Circuits I Review  
6 11 Second order circuits step response.  NIGHT LAB ALSO IF NEEDED 2nd Order Circuits Lab
7 25 Comparators I Comparator Lab
8 31 Comparators II  
9 9 Teaching lab I Teaching Lab
10 15 Teaching lab II  
11 29 Teaching lab III: Lesson plan due  
12 6 Dec Teach lab to middle school students  
13 13 Clean lab, return components

Other

Matlab available for free at the barracks help desk and does everything the $2,500 commercial licenses do!

NCEES Reference Handbook. The printed book is an authorized reference in all my exams.

IC Datasheets. This is a listing of all common linear integrated circuits that we use in this course, as well as in entire curriculum at VMI.

LTSpice Free circuit simulator

Filter Designer Lite Free Active (opamp) filter design software

Variable voltage divider designer Variable resistor voltage divider design

Three Phase Power interactive demonstration