Mar 20, 2023
 HELP 2015-2016 Undergraduate Academic Catalog [ARCHIVED CATALOG] Print-Friendly Page (opens a new window)

# ET 3001 - Transient Circuit Analysis

3 lecture hours 2 lab hours 4 credits
Course Description
The analysis of electric circuits in both the time domain and the Laplace transform domain is covered in this course. The circuit responses to a variety of waveforms, including step, ramp, sinusoid, switched, exponential, and impulse functions, are analyzed. Time domain differential equations and Laplace transforms are emphasized as circuit analysis techniques. The student will also learn to design circuits and experiments that will illustrate the concepts introduced in this course. (prereq: ET 3051 , MA 227
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
• Mathematically express ramp, sinusoid, switched, exponential, impulse, and other functions in preparation for the analysis of electrical networks.
• Perform graphical and analytic differentiation and integration of waveforms.
• Utilize differential equations to determine the steady-state and transient time domain solution of simple RC, RL, and RLC networks.
• Evaluate Laplace and inverse Laplace transforms using tables, partial fraction expansion, and software.
• Utilize Laplace transforms in the solution of RLC circuits with initial conditions.
• Describe circuit behavior from a knowledge of the poles of the transfer function, including the relationship between frequency and time domain responses.
• Design and perform laboratory experiments that utilize advanced circuit analysis concepts.

Prerequisites by Topic
• Steady state DC, AC, and periodic signal circuit analysis.
• Frequency response analysis, transfer functions, and Bode plots.
• Calculus.
• Differential equations.

Course Topics
• Course introduction, mathematical expression of waveforms. (6 classes)
• Time domain behavior of components, and solution of simple RL, RC, and RLC circuits in the time domain using differential equations. (5 classes)
• Laplace transform basics and mechanics. (6 classes)
• Circuit analysis using Laplace transforms. (4 classes)
• Exams and homework. (10 classes)

Laboratory Topics
• Laboratory introduction
• Differentiation and integration of waveforms.
• First-order transient circuit analysis.
• First-order circuit design.
• Signal generation and conversion (two-week experiment).
• Introduction to MATLAB.
• Second-order circuit design (two-week experiment).

Coordinator
Edward Chandler