The BRADLEY DEPARTMENT of ELECTRICAL and COMPUTER ENGINEERING

# ECE 3004 AC Circuit Analysis | ECE | Virginia Tech

### Course Information

#### Description

Application of the basic laws and techniques of circuit analysis to ac circuits. Complex numbers and algebra with an emphasis on phasor representation of circuits. Calculation of the frequency response of circuits with R, L, and C components, independent sources, controlled sources, and operational amplifiers. Analysis of AC steady-state circuits and determination of average power. Magnetically coupled circuits. Laplace and Fourier transforms. Representation of circuits by two-port models.

#### Why take this course?

Circuit analysis and design using discrete R, L, and C components is the most fundamental skill for electrical engineers. This course stresses the AC analysis of basic circuit elements and teaches modeling, design, and analysis skills for AC circuits. It also covers such topics as: magnetically coupled circuits and their application to transformers; frequency response and active and passive filters; the application of Laplace transforms and Fourier series and transforms to analyzing circuits; and two-port circuits.

### Learning Objectives

• Manipulate complex numbers and develop the equations for AC circuits using phasors
• Apply Kirchhoff’s laws and Ohm’s law to analyze RLC circuits in the frequency domain
• Calculate power and energy in single and multiple frequency AC circuits
• Determine the transfer characteristics of common AC filter circuits
• Describe and calculate the response for circuits with mutual coupling and with transformers
• Apply Laplace and Fourier transforms in the analysis of AC circuits
• Model basic circuit structures with 2-port equivalent circuits
• Model and analyze basic circuits using MatLab and PSpice

### Course Topics

#### Percentage of Course

Sinusoids and phasors including impedance, admittance, and Kirchhoff’s laws 8%
Sinusoidal steady-state analysis including node and mesh analysis, Thevenin and Norton equivalents, and op amps 8%
AC power analysis including instantaneous and average power, power factor, and complex power 9%
Magnetically coupled circuits including mutual inductance, energy in a coupled circuit, and transformers 12%
Frequency response including transfer functions, Bode plots, resonance, and passive and active filters 13%
Circuit applications of Laplace transforms such as circuit element models, circuit analysis, transfer functions, state variables, and circuit stability 20%
Circuit applications of Fourier series such as filters and spectrum analyzers 10%
Fourier transforms including properties and circuit applications such as amplitude modulation and sampling 10%
Two-port circuits 10%