Circuit Theory
Fall, Spring, Summer
Required for ECE
Catalog Data: 

2009-10 Catalog Data: ECE 320A -- Circuit Theory  (3 units)
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; and Fourier series analysis.
Grading:  Regular grades are awarded for this course: A B C D E.
May be repeated:  for credit 1 time (maximum 2 enrollments). 

MATH 254 and ECE 220.

Electric Circuits, Ninth Edition, J. W. Nilsson and S. A. Riedel, Pearson Prentice Hall, 2011.

Course Learning Outcomes: 

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

  1. 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.
  2. Convert wye-connected reactive loads to delta-connected reactive loads and vice-versa.
  3. Solve for line currents, line voltages, phase currents, and phase voltages in arbitrarily interconnected balanced, three-phase circuits.
  4. Convert a given electrical circuit into its s-domain equivalent representation.
  5. Apply the Laplace Transform operator to generic waveforms and calculate the Inverse Laplace Transform of a given s-domain function.
  6. Solve for currents and voltages in generic RLC circuits.
  7. Model RLC circuits with transfer functions.
  8. Calculate the output waveform from an input waveform and a system’s transfer function.
  9. Apply the Initial Value and Final Value Theorems.
  10. Convolve two waveforms.
  11. Design simple passive frequency selective filters.
  12. Sketch the Bode diagrams associated with a transfer function.
  13. Design active frequency selective filters.
  14. Develop a Fourier Series expansion for a periodic waveform.
  15. 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 (4 classes)
  • Balanced three phase circuits (4 classes)
  • Introduction to the Laplace Transform (4 classes)
  • The Laplace Transform in circuit analysis (6 classes)
  • Introduction to frequency-selective circuits (4 classes)
  • Active filter circuits (2 classes)
  • Fourier series and transforms (3 classes)
Class/Laboratory Schedule: 

Two 75-minute lecture sessions per week.
Fourteen homework problem sets during the semester.
Three in-class examinations plus a final examination.

Relationship to Student Outcomes: 

ECE 320a contributes directly to the following specific Electrical Engineering and Computer Engineering Student Outcomes of the ECE Department:

a)   an ability to apply knowledge of mathematics, science, and engineering (High)

c)   an 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)

e)  an ability to identify, formulate, and solve engineering problems (High)

k)  an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice. (Medium)

Prepared by: 
Dr. Steven L. Dvorak
Prepared Date: 

University of Arizona College of Engineering