ET 152 Circuits 2

I. CATALOG DESCRIPTION:

ET152 CIRCUITS 2 C 3, P 2, CR 4

This course details AC circuit analysis. Topics include Phasor representation of sinusoidal voltage, currents, impedance, power solution of RLC circuits, frequency response and series and parallel resonance. Three phase power transformers and Fourier analysis of complex waveforms are introduced. The use of computer solutions in problem solving is included.

Prerequisites: ET151 Circuits 1, ET153 Introduction to Electronics and ET154 Computer Programming.

Corequisite: MA122 Fundamentals of College Math 2 or MA150 Pre-calculus or MA151 Calculus 1.

II. MATERIALS:

AC Electrical Circuit Analysis: A Practical Approach, James M. Fiore, a free OER text :  PDF   ODT   HTML   PRINT
Equipment: A Scientific calculator with trig, exponential and polar to rectangular functions, preferably with simultaneous equation solutions using complex coefficients; hand tools sufficient to cut, strip and straighten hookup wire, a small screwdriver, and an electronic breadboard.

Laboratory Manual for AC Electrical Circuit Analysis:  PDF   ODT   HTML   PRINT 

Video: See the AC Electrical Circuit Analysis playlist on my YouTube channel: ElectronicsWithProfessorFiore 

 III. STUDENT LEARNING OUTCOMES:

The student will demonstrate a thorough knowledge of the AC steady state behavior of electrical circuits.

The student will demonstrate familiarity with the phasor solution of AC circuits and AC power relationships.

The student will demonstrate knowledge of the concepts of frequency response and series and parallel resonant circuits.

The student will use a mathematical and problem solving approach for circuit analysis, based on fundamental AC circuit principles and math concepts. This will include the use of computer simulations.

The student will demonstrate facility at constructing and trouble shooting basic AC circuits in the laboratory with proper use of test equipment.

The student will demonstrate appropriate communication skills, particularly technical reports through the laboratory.

The student will demonstrate the ability to work as part of a technical team, particularly in the laboratory.



Course Assessment Standards

Syllabus

Background

This is the second in a sequence of two electrical circuits courses. Success in this course requires a good working knowledge of algebra and trigonometry, along with a thorough understanding of the concepts presented in ET151 Circuits 1. Simply stated, this course is an AC version of Circuits 1. Combination RLC circuits are examined in great depth. Topics include impedance, frequency response, and resonance. Three-phase power, transformers, and Fourier analysis of complex waveforms are introduced. If you do not already have one, purchase of a scientific calculator that will perform simultaneous equation solutions with complex coefficients is strongly advised. A minimum capability of 5 unknowns is desired. Examples include the TI-86 and TI-89. Further, smart devices will not be allowed during tests. Also, it will be helpful to bring a set of colored pencils or pens to lecture (3 or 4 colors) because we create numerous simultaneous waveform plots. For lab, you'll need the standard array of goodies as used throughout this program (breadboard, DMM, small handtools, hook-up leads, etc.) Unless otherwise specified, all lab exercises require a technical report due no later than one week after the exercise. Late penalty is one letter grade for the first half week, two letter grades for the second half week. Reports are not accepted beyond two weeks and receive a grade of 0. Remember, plagiarism is grounds for failure.

An on-line resource covering a variety of electrical circuit topics and reference material may be found at: https://www.allaboutcircuits.com/education/. An alternate and free text is AC Circuits. Check out my free books page for free circuit simulators and other OER (Open Educational Resources).

Week-by-week progress and assignments

1

We introduce AC concepts of time varying quantities: sinusoidal functions and waveforms, and the basics of AC power including calculation of average and RMS value.

  • Reading: We start with the first portion of chapter 1. Check out the Sine Wave Notes doc. Also, read the notes on Fourier Analysis and Overtones.
  • Problems: Chapter 1: 1, 3, 5, 7, 11.
  • Video: Introduction, Fundamentals and Complex Numbers from the AC Electrical Circuit Analysis playlist.
  • Lab: As always, we start the semester with proper lab safety procedures. Then we'll have a problem session on complex numbers: Phasor Problems.
2

We finish chapter 1 with an examination of reactance and impedance, and dive deeply into complex numbers. Complex numbers are extremely important- you can't do the remaining material without them, so make sure that you master the concepts. Also, we introduce the concept of phasors.

3

We finish up our introductory material and begin elementary AC network analysis in chapter 2. The first topic is series networks.

4

This week we look at parallel networks.

5

We begin work with basic series-parallel networks.

  • Reading: Finish chapter 3 and start chapter 4 by week's end.
  • Problems: Chapter 3: 21, 23, 27, 33; Chapter 4: 1, 5, 9, 13, 17.
  • Video: Series-Parallel RLC Circuits and Series-Parallel RLC Simulation from the AC Electrical Circuit Analysis playlist.
  • Lab: Series RLC Circuits
6

We conclude our discussion of basic series-parallel networks and have a test.

  • Reading: Finish chapter 4 and start chapter 5.
  • Problems: Chapter 4: 23, 27, 31, 33, 35, 43.
  • Video: Source Conversions from the AC Electrical Circuit Analysis playlist.
  • Lab: Parallel RLC Circuits
7

Our next major topic is network theorems and analysis. This will be spread over a few weeks. This week we start with analysis theorems and techniques (superposition, Thevenin, Norton, etc.)

  • Reading: Chapter 5.
  • Problems: Chapter 5: 1, 5, 7, 11, 13, 21, 23, 27, 31, 33, 35, 37, 43, 45, 49, 51.
  • Video: Thevenin's Theorem, Thevenin Example, Superposition, Maximum Power Transfer and Maximum Power with Thevenin from the AC Electrical Circuit Analysis playlist.
  • Lab: Series-Parallel RLC Circuits
8

We finish off network theorems and begin methods of analysis (nodal, mesh, dependent sources).

  • Reading: Begin chapter 6.
  • Problems: Chapter 5: 57, 61, 63, 65, 67, 71. Chapter 6: 1, 5, 11, 13, 21, 25, 29, 33, 41, 43. Use the first three problems of the Mesh, Nodal, et al. Worksheet as a self test.
  • Video: Solving Simultaneous Equations, Nodal Analysis, Nodal Example Parts 1 & 2, Mesh Analysis, and Mesh Example Parts 1 & 2 from the the AC Electrical Circuit Analysis playlist.
  • Lab: Passive Crossover
9

This week we conclude methods of analysis. By mid-week we'll begin a more rigorous study of AC power.

10

We finish AC power this week and have a test. Then we begin another major topic: frequency response and resonance. The first item of interest is series resonance. 

11

This week we finish series resonance and start parallel resonance.

  • Reading: Finish chapter 8.
  • Problems: Chapter 8: 7, 19, 21, 23, 25, 29, 31.
  • Video: Parallel Resonance Intro & Example from the AC Electrical Circuit Analysis playlist.
  • Lab: AC Maximum Power Transfer
12

When we have completed resonance, we begin with chapter 9, Polyphase Power.

  • Reading: Start chapter 9. Check out these pics of industrial motors: 800 HP DC (used to hold tension on metal while it is being rolled, 2500 amps @ 250 volts), 4000 HP DC (used to reduce eight inch thick copper slabs down to 1/2 inch, 4680 amps @ 700 volts),  3000 HP DC (brings 1/2 inch thick metal down to 1/8 inch, 4772 amps @ 500 volts). Pics courtesy of David Parry. 
  • Problems: Chapter 9: 1, 3, 5, 7, 9, 11, 15, 19.
  • Video: Three Phase Systems Part 1 from the AC Electrical Circuit Analysis playlist.
  • Lab: Series Resonance
13

We finish off polyphase power and begin an examination of magnetic circuits and transformers.

  • Reading: Finish chapter 9. Read the first section of chapter 10 in the DC Electrical Circuit Analysis text.
  • Problems: Chapter 10 (DC text): 1, 3, 5, 7, 9, 11, 13.
  • Video: Three Phase Systems Part 2 from the AC Electrical Circuit Analysis playlist.
  • Lab: Parallel Resonance

14

We wrap up transformers and have our last in-class test (time permitting).

  • Reading: Finish chapter 10.
  • Problems: Chapter 10 (DC text): 15, 17, 19, 22, 23.
  • Lab: Course review, or time permitting, computer simulation of series-parallel resonant circuits, mesh & nodal analysis or Loudspeaker Impedance Model.


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