**Title: ELECTRICAL CIRCUITS II**

**Credits:** 4

**Catalog Description: **EE 202 Electrical Circuits II (Elektrik Devreleri II) (4+1+0) 4 ECTS 6Laplace transform. Linear circuits in s-domain. Fourier series. Frequency spectrum. Fourier transform. Frequency response. Frequency selective circuits. Two-port networks.

**Prerequisites**: EE 201

**Coordinator: **Kadri Özçaldıran, Professor of Electrical Engineering

**Goals:** This course aims to expose the sophomore year students to (i) - transform techniques (Laplace and Fourier transforms) in the analysis of linear electrical circuits, to (ii) – rudimentary passive filter design, and to (iii) – two-port characterizations of linear circuits.

**Learning Objectives: **At the end of this course, students will be able to:

CLO 1 – Master Laplace and inverse Laplace transformations

CLO 2 – Use Laplace transform techniques to solve linear (switching) circuits

CLO3 – Master Fourier Series and use them to compute the response of linear circuits to periodic excitations

CLO 4 – Master Fourier transforms techniques and use them to solve linear circuits

CLO 5 – Understand the basics of linear filters

CLO 6 – Understand two-port representation of linear circuits

**Textbook:** J. W. Nillson & S. A. Riedel, Electric Circuits, 10th ed., Prentice Hall, 2014.

**Reference Texts**:

1. C. Alexander & M. Sadiku, Fundamentals of Electric Circuits, 5th. Ed., McGraw-Hill, 20121991.

2. Almost any text-book on linear circuits will do as the content is very classical.

**Prerequisites by Topic:**

1. Calculus

2. Rudimentary linear algebra

3. Linear ordinary differential equations

4. Basic analysis techniques for linear circuits (mesh current, node voltage)

5. Basics of complex numbers

6. RLC circuits in time-domain

7. Phasors

**Topics:**

1. Laplace Transforms (3 weeks)

1. Application of Laplace Transforms to analysis of linear circuits (1 weeks)

2. Fourier Series and periodic excitation. (2 week)

3. Fourier Transforms and their application to linear circuits (3 weeks)

4. Basic filter design (2 weeks)

5. Two-port networks (2 weeks)

**Course Structure:** The class meets for two lectures a week, each consisting of two 50-minute sessions. 5-6 sets of homework problems are assigned. Each homework set consists of about ten questions, two or three of which are handed in to be graded. There are two in-class mid-term exams and a final exam.

**Computer Resources: **None.

**Laboratory Resources: **None.

**Grading:**

Two mid-term exams (25% each). A final exam (40%). Homework sets, attendance, quizzes (10%).

Outcome Coverage:

1. Outcome (a): Apply math, science and engineering knowledge.

This course is basically about linear circuits in s-domain. It draws very heavily upon Laplace and Fourier transforms to construct the network response/output. As such, it is a melting pot for mathematical tools with concepts from physics and electrical engineering.

Relation Between CLOs and Outcomes:

All CLOs are clearly related to Outcome (a).

Relation Between CLOs and Program Objectives:

All four CLOs of this course serve the first two educational objectives of the program that state that graduates of the program will

(i) have a strong background in basic sciences, mathematics and engineering to be successful in their graduate studies;

(ii) have broad skills and solid technical background to be successful in their professional careers.

It should be clear to any electrical engineer that a strong background in circuits means a strong background in mathematics, especially in linear ordinary differential equations and transform techniques. Of the six CLOs, the first four guarantee that program objective (i) is served adequately. Circuit theory is also one of the most heavily applied theories in engineering and constitutes a scientific pillar for a wide range of engineering applications from telecommunications (filter design) to electronics (two-port networks). Thus, CLO 5 and CLO 6 serve program objective (ii).

Prepared By: Kadri Özçaldıran