# ECE 320A

## Circuit Theory

Fall

Spring

Required Course:
Yes

### Course Level

Undergraduate

### Units

3

### Prerequisite(s)

MATH 254 and ECE 220

### Course Texts

Nilsson, James W., and Susan A. Riedel. *Electric Circuits*. 10th ed. Prentice Hall, 2015.

### Schedule

150 minutes lecture per week

### Course Description

Electric circuits in the frequency domain; using sinusoidal steady-state, Laplace and Fourier methods; single-phase and three-phase power; time domain methods and convolution; transformed networks; natural frequencies; poles and zeros; two-port network parameters; Fourier series analysis.

### Learning Outcomes

By the end of this course, the student will be able to:

- Calculate the complex power, in terms of real and reactive components, in single-phase sinusoidal, steady-state systems
- Design a reactive load that improves a system’s power factor
- Convert wye-connected reactive loads to delta-connected reactive loads and vice versa
- Solve for line currents, line voltages, phase currents, and phase voltages in arbitrarily interconnected balanced, three-phase circuits
- Convert a given electrical circuit into its s-domain equivalent representation
- Apply the Laplace transform operator to generic waveforms and calculate the inverse Laplace transform of a given s-domain function
- Solve for currents and voltages in generic RLC circuits
- Model RLC circuits with transfer functions.
- Calculate the output waveform from an input waveform and a system’s transfer function
- Apply the initial value and final value theorems
- Convolve two waveforms
- Design simple passive frequency selective filters
- Sketch the Bode diagrams associated with a transfer function
- Design active frequency selective filters
- Develop a Fourier series expansion for a periodic waveform
- Calculate, using the Fourier series concept, a linear system’s output response when a periodic input waveform is applied to the linear system, if time permits

### Course Topics

- Sinusoidal steady-state power calculations (5 classes)
- Balanced three-phase circuits (3 classes)
- Introduction to the Laplace transform (4 classes)
- The Laplace transform in circuit analysis (6 classes)
- Convolution (3 classes)
- Bode plots and frequency response (2 classes)
- Introduction to frequency-selective circuits (1 class)
- Active filter circuits (2 classes)

### Relationship to Student Outcomes

ECE 320A contributes directly to the following specific electrical and computer engineering student outcomes of the ECE department:

- Ability to apply knowledge of mathematics, science, and engineering (high)
- Ability to design a system, component or process to meet desired needs within realistic constraints, such as economic, environmental, social, political, ethical, health and safety, manufacturability and sustainability (low)
- Ability to identify, formulate and solve engineering problems (high)
- Have the broad education necessary to understand the impact of engineering solutions in a global, economic, environmental and societal context (low)

### Syllabus Prepared By

Steven L. Dvorak, Hal Tharp; 03/03/16