RedVector RV-5586

Circuit Analysis (AC): Complex Numbers & Phasors

Circuit Analysis (AC): Complex Numbers & Phasors

2 hrs. Online Course

Level: Intermediate

Item#: RV-5586

SME: Robert Murphy

This course has been discontinued
 

The course is part of a series of courses on the subject of Circuit Analysis. As we proceed with the analysis of ac networks, it becomes necessary to add voltages and currents. This can be performed by use of a system of complex numbers in a complex plane. This 2-hour interactive online course focuses on AC complex numbers and phasors and assumes that the user has the knowledge presented in the previous courses in the series, or has obtained sufficient background elsewhere.

There is a test included at the end of this course.

Course Objectives

At the conclusion of this course, you will understand:

  • The need for complex arithmetic in circuit analysis
  • The use of the "J" operator
  • Rectangular and polar form and how to represent complex numbers using both forms
  • How to add, subtract, multiply, and divide complex numbers in both rectangular and polar form
  • The representation of complex quantities on the complex plane
  • The use of phasors to represent complex number combinations
  • The representation of sinusoidal waveforms as a complex number

Part of a Series

There are generally two ways to use this series: A user may start at the beginning and work through the entire series, or he may simply choose parts of the series to either refresh his knowledge or to selectively obtain new knowledge.

The series contains two major classifications - AC and DC. The DC courses (or their equivalent) should be mastered first, as many of the AC courses assume a basic knowledge of the DC Circuit Analysis courses. For example, Ohm's Law for an AC circuit is very much like Ohm's Law for a DC circuit and the user should have the knowledge of the DC circuit to understand the AC circuit material on Ohm's Law.

Series Outline - Circuit Analysis Series

DC Circuits, conventional current flow version

Current, Voltage, and Resistance. 2 hour
Ohm's Law, and power. 1 hour
Series and parallel resistors. 1 hour
Current and Voltage in series circuits. 1 hour
Current and Voltage in parallel circuits. 1 hour
Power. 1 hour
Kirchhoff's Laws. 1 hour
Voltage Divider Rule and Current Divider Rule. 1 hour
Open and short circuits, notation and source resistance. 1 hour
Thevenen's Theorem. 1 hour
Norton's Theorem. 1 hour
Superposition Theorem. 1 hour
Mesh Analysis. 2 hour
Node Analysis. 2 hour

DC Circuits, electron flow version

Same topics as conventional flow version

AC Circuits

Sinusoidal generation and definitions. 1 hour
Sinusoidal general format and phase relationships. 1 hour
Average Value and Effective Value. 1 hour
Complex Numbers and Phasors. 2 hour
Dependent Sources. 1 hour
Mesh Equations with dependent sources. 1 hour
Mesh Equations with independent sources. 2 hour
Node Equations with dependent sources. 1 hour
Node Equations with independent sources. 2 hour
RLC circuit response. 1 hour
Source Conversions. 1 hour
Series and Parallel Circuits. 2 hour
Series and Parallel Networks. 2 hour
Thevenin's and Norton's Theorem. 1 hour
AC Power. 2 hour

State Licenses
PA - Land Surveyor (General)