### ENGR 2040

This is an archive of the Common Course Outlines prior to fall 2011. The current Common Course Outlines can be found at http://www.gpc.edu/programs/Common-Course-Outlines.**Credit Hours**3

**Course Title**Electric Circuit Analysis

**Prerequisite(s)**PHYS 2212

**Corequisite(s)**MATH 2652

**Catalog Description**

This course is an introduction to the analysis of electrical circuits and networks. Topics include resistive circuits, network topology, network analysis, capacitive and inductive circuits, AC circuits, AC power, time- and frequency-domain analysis, mutual inductance, and one- and two-port networks.

**Expected Educational Results**

As a result of completing this course, the student will be able to do the following:

1. Identify the elements, quantities, and constitutive relations in an electric circuit.

2. Perform analysis of circuits containing resistors, inductors, and capacitors:

a. Series, parallel, and ladder circuits using Ohm’s Law, voltage division and current division.

b. Delta-wye transformation.

3. Perform analysis of circuits containing diodes, operational amplifiers, and bipolar junction transistors (BJTs), given their input-output behaviour.

4. Perform analysis of circuits containing dependent sources.

5. Develop network equations from a circuit diagramme using cutset and loop analysis, and node and mesh analysis.

6. Apply the linearity (superposition) principle to analyze and solve circuits with multiple independent sources.

7. Apply the Norton, Thévenin, Tellegen, and reciprocity network theorems to simplify, analyze and design large-scale networks.

8. Design a network for maximum power transfer.

9. View a circuit as a system, and describe the response of a circuit to various input signals such as impulse, step, ramp, and sinusoidal.

10. Analyze AC circuits using complex amplitude and phasors.

11. Describe the transient and steady-state response of an AC circuit.

12. Describe the frequency response of an AC circuit, in terms of essential bandwidth, passbands and stopbands, Bode plots and Nyquist diagrams.

13. Determine the rms value of an AC variable.

14. Determine the resonant frequency of an AC circuit, and analyze and design resonance circuits.

15. Compute the power, apparent power, and power factor in an AC circuit.

16. Compute the power factor correction for maximum power transfer.

17. Analyze circuits containing inductive couples using the theory of mutual inductance.

18. Write the impedance matrix, admittance matrix, and transmission matrix of a two-port network.

19. Describe the relationships amongst the parameters of a two-port network.

**General Education Outcomes**

I. This course addresses the general education outcome relating to communication by providing additional support as follows:

A. Students develop their listening and speaking skills by attending lectures, participating in class and in small group discussions.

B. Students develop their reading comprehension skills by reading and discussing assigned sections of the text. Some sections are assigned for study which are not covered in class. Reading engineering text requires skills somewhat different from those used in reading materials for other courses, in that students are expected to read highly technical material and interpret complex diagrams.

C. Unit tests, examinations, and other assignments provide opportunities for students to practice and improve technical writing skills. The Engineering field has a specialized vocabulary that students are expected to use correctly.

II. This course addresses the general education outcome of demonstrating effective individual and group problem-solving and critical-thinking skills as follows:

A. Students must apply mathematical and engineering concepts to non-template problems and situations.

B. In applications, students must analyze problems, often through the use of multiple representations, develop or select an appropriate mathematical model, utilize the model, and interpret results.

III. This course addresses the general education outcome of using mathematical concepts to interpret, understand, and communicate quantitative data as follows:

A. Students must be proficient in analysis of linear electric networks containing passive elements.

B. Students must be able to derive, solve, and analyze the differential equation describing a network.

C. Students must be proficient in the use of phasors to analyze AC circuits in steady-state operation.

D. Students must be proficient in the use of complex variables in the analysis and design of AC networks.

IV. This course addresses the general education outcome of locating, organizing, and analyzing information through appropriate computer applications (including hand-held graphing calculators). As a result of taking this course, the student should be able to use technology to:

A. Solve a system of linear equations.

B. Graph the response of a circuit to common inputs.

C. Draw the Bode and Nyquist plots of a network.

D. Place the poles and zeros of a transfer function to design a network that meets given specifications.

**Course Content**

1. Elements of an electric network and their equations

2. Circuit analysis and design

3. Input-output analysis

4. Frequency domain analysis

5. Power and energy

6. Mutual inductance

7. Two-port networks

Upon entering this course the student should be able to do the following:

1. Write a system of linear equations in matrix form.

2. Solve a system of linear equations using the methods of Gaussian elimination and Cramer’s rule.

3. Effectively use trigonometric identities such as the sum of angles and double angle formulas.

4. Use trigonometry to solve a triangle.

5. Draw accurate graphs of elementary functions such as power and root functions, polynomial functions, trigonometric and inverse trigonometric functions, and exponential and logarithmic functions.

6. Express numbers as logarithms, and work effectively with logarithmic quantities.

7. Perform complex arithmetic.

8. Differentiate and integrate elementary functions such as would be studied in the calculus.

**Assessment of Outcome Objectives**

I. Course Grade

The course grade will be determined by the student’s performance on homework, exams, and a final exam.

II. Departmental Assessment

This course will be assessed every three years. The assessment will consist of a set of questions agreed upon by the Engineering committee.

III. Use of Assessment Findings

The Engineering Committee, or a special assessment committee appointed by the Engineering Committee, will analyze the results of the assessment and determine implications for curriculum changes.

Last Revised: May 16, 2011

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