# ECE 60A � Circuits & Systems I

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```					ECE 60A – Circuits & Systems I

2000-2001 Catalog Description: Voltage-current relationships for circuit elements, Kirchhoff's voltage
and current laws, source transformations, loop and node analysis, initial conditions, the Laplace transform,
inverse transform, partial fraction expansions.

Prerequisite: Math 20A-B-C-F, ECE 20A and 20B with grades of C- or better.

Text Book: D. E. Johnson, J. R. Johnson, J. L. Hilburn and P. D. Scott, “Electric Circuit Analysis,” Third
Ed. (Required)

Course Objectives: The course is designed to introduce sophomore EE majors to the techniques used in
the analysis of linear circuits. Topics include voltage-current relationships of resistors, inductors and
capacitors; analysis of circuits with passive elements as well as independent and controlled sources;
introduction to Laplace transforms and their use in solving circuit problems.

Course Topics:
1. RESISTIVE NETWORKS: Ohm's Law & Polarity Conventions; Kirchhoff's Laws; Series & Parallel
Resistors; Sources (Independent & Controlled)
2. RESISTIVE CIRCUIT ANALYSIS: Nodal & Mesh Analysis Superposition; Thevenin & Norton
Equivalent Circuits (Source Transformations)
3. ENERGY STORAGE ELEMENTS & FIRST-ORDER DIFFERENTIAL EQUATIONS:Capacitors;
Integral & Differential V-I Relationships Conservation of Charge; Series & Parallel Capacitors;
Inductors; Integral & Differential V-I Relationships Conservation of Flux Linkage; Series & Parallel
Inductors; Solution of General, First-Order, Inhomogeneous Equation; R-C Circuit Differential
Equation; Solution With & Without External Sources Initial & Final (Steady State) Values; L-R
Circuit Differential Equation; Solution With & Without External Sources Initial & Final (Steady State)
Values; Source (Thevenin & Norton) Transformations
4. THE LAPLACE TRANSFORM: Review of Complex Arithmetic; Rationale for Employing the
Laplace Transform Definition of Laplace Transform & Inverse Transform (Table Look-Up) Functions
that do (and do not) Have Laplace Transforms Start Table of Transforms; U(t); Exp(-at); tn Exp(-at)
5. PROPERTIES OF THE LAPLACE TRANSFORM:Relationship Table; Linearity; Multiply by t n;
Time Shift; Multiply by Exp(-bt); More Transform Table Entries; Cos(t); Sin (t); Inverse
Transforms (Table Look-up); Partial Fraction Expansions; Initial & Final Value Theorems
6. SOLUTION OF DIFFERENTIAL EQUATIONS USING LAPLACE TRANSFORMS
First-Order Equations; Second-Order Equations; General, n-th Order Equations; Transfer Functions
7. CIRCUIT ANALYSIS IN THE TRANSFORM DOMAIN:Transform Elements and Impedance; Series
& Parallel Impedances; Initial Condition Generators; Kirchhoff's Laws in Transform Circuits;
Thevenin and Norton Equivalents in Transform Circuits Transfer Functions; Unit Impulse and Impulse
Response

Course Implementation: 3 hours lecture; 1 hour discussion

Evaluation Methods: Tests, Homework

Prepared by: R. Lugannani          E-mail address: lug@ece.ucsd.edu            Date: May 10, 2001

Course Contribution to Meeting Program Objectives and Professional Components
1.   An understanding of the underlying principles of, and an ability to apply knowledge of mathematics,
science and engineering to electrical engineering problems:
Emphasis: 2 Assessment: 1
Classroom discussion emphasizes the necessity to carefully formulate engineering problems so that the
appropriate analytical tools can be brought to bear on their solution. Students are expected to
demonstrate their mastery of this approach on tests and homework. They are graded on their ability to
apply basic principles (linearity, superposition, etc.) to the solution of a problem using the appropriate
mathematical techniques (convolution, transform techniques, etc.) in conjunction with suitable
engineering assumptions (using a linearized approximation of a device or component, restricting
attention to relevant bandwidth, etc.).

2.   An ability to design and conduct experiments, as well as to analyze and interpret data:
Emphasis: 0            Assessment: 0

3.   A knowledge of electrical engineering safety issues:
Emphasis: 0 Assessment: 0

4.   An ability to design a system, component, or process to meet desired needs:
Emphasis: 1             Assessment: 0
The course is basically an analysis course as opposed to a design course. Therefore there is little
emphasis on design other than basic ones (filtering unwanted frequency components from a signal,
characterization of a linear system from a knowledge of its input and output, etc.) Assessment is done
in the same manner as for question No. 1 above.

5.   a) An ability to collaborate effectively with others, b) an ability to function on multidisciplinary teams:
Emphasis: 5a): 0           5b): 0           Assessment: 5a): 0          5b): 0

6.   An ability to identify, formulate, and solve engineering problems:
Emphasis: 1 Assessment: 1
The course is basically an analysis course as opposed to a design course. Therefore there is little
emphasis on identifying problems other than stating some basic ones (removal of unwanted frequency
components from a signal, characterization of a linear system from a knowledge of its input and
output, etc.) Assessment is done in the same manner as for question No. 1 above.

7.   An ability to use the techniques, skills, and modern engineering tools necessary for engineering
practice, including familiarity with computer programming and information technology:
Emphasis: 0 Assessment: 0

8.   An understanding of professional and ethical responsibility:
Emphasis: 0 Assessment: 0

9.   An ability to communicate effectively a) in writing, b) orally, c) with visual means:
Emphasis: 9a): 0      9b): 0       9c): 0           Assessment: 9a): 0         9b): 0     9c): 0

10. The broad education necessary to understand the impact of engineering solutions in a global and
societal context:
Emphasis: 0 Assessment: 0

11. A recognition of the need for, and the ability to engage in, life-long learning:
Emphasis: 1            Assessment: 0
Discussion of career choices and further formal education (M.S., Ph.D.)

12. A knowledge of contemporary issues:
Emphasis: 1           Assessment: 0
Discussion of some ultimate applications of elementary electrical engineering principles.

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