## Topic outline

- COURSE INSTRUCTORS
- COURSE DESCRIPTION
### COURSE DESCRIPTION

**Catalog Course Description:**Circuit variables and circuit elements. Some circuit simplification techniques. Techniques of circuit analysis. The operational amplifiers. The natural and step response of RL and RC circuits. Natural and step responses of RLC circuits. Sinusoidal steady-state analysis. Introduction to the Laplace Transform. The Laplace Transform in circuit analysis. - Course Rationale and Goals
### Course Rationale and Goals

**Goals:**To develop the fundamental tools of linear circuit analysis which will be useful to all engineers. To learn the "alphabet" of circuits, including wires, resistors, capacitors, inductors, voltage and current sources, and operational amplifiers. To prepare students for more advanced courses in circuit analysis.**Learning Objectives:**At the end of this course, students will be able to:linear systems and represent those systems in schematic form*Identify*Kirchhoff's current and voltage laws and Ohm's law to circuit problems*Apply*circuits using series and parallel equivalents and using Thevenin and Norton equivalents*Simplify*node and loop analyses and set these up in standard matrix format*Perform**Identify**and**model*first and second order electric systems involving capacitors and inductorsthe transient behavior of first and second order circuits*Predict*

- ASSIGNMENTS
### ASSIGNMENTS

The homework assignments:

· The first page must be the

**title page****.**The title page must contain the**name****,****surname****e****number****due date****.**· Please also include

**a****table of points**· The solution must contai

**n****all the necessary steps****.**· Remember that you

**must turn in****t**he homework on the assigned days. Late submissions**will not be accepted and graded.**Here is a sample title page.

**(You may download the .doc file and change the necessary information)**I

**mportant Note:**You may discuss the homework problems with your friends for exchanging general ideas, but you may not copy from one another. You may also not give any parts of your homework to other students to look at. Any students violating these rules or committing any other acts of academic dishonesty WILL be turned over to the disciplinary committee for disciplinary action. - Circuit Variables and Circuit Elements
### Circuit Variables and Circuit Elements

Circuit Analysis: An Overview. Voltage, Current and the Basic Circuit Elements. The Ideal Basic Circuit Element. Power and Energy. Voltage and Current Sources. Electrical Resistance (Ohm's Law). Kirchoff's Laws. Analysis of a Circuit Containing Dependent Sources.

- Some Circuit Simplification Techniques.
### Some Circuit Simplification Techniques.

Combining Resistors in Series and Parallel. Voltage and Current Dividers. Source Transformations. Superposition. Practical Perspective: Digital-to-Analog Resistive Ladder.

- Techniques of Circuit Analysis
### Techniques of Circuit Analysis

Terminology. Introduction to the Node-Voltage Method. The Node-Voltage Method and Dependent Sources. The Node-Voltage Method: Some Special Cases. Introduction to the Mesh-Current Method. The Mesh-Current Method and Dependent Sources. The Mesh-Current Method: Some Special Cases. The Node-Voltage Method Versus the Mesh-Current Method. Thevenin and Norton Equivalents. More on Deriving a Thevenin Equivalent. Maximum Power Transfer. Practical Perspective: Circuits with Realistic Resistors.

Nodal Analysis using Excel Sheet

- The Operational Amplifier.
### The Operational Amplifier.

Operational Amplifier Terminals. Terminal Voltages and Currents. The Inverting-Amplifier Circuit. The Summing-Amplifier Circuit. The Non-inverting-Amplifier Circuit. The Difference-Amplifier Circuit. The Comparator.

- The Natural and Step Response of RL and RC Circuits.
### The Natural and Step Response of RL and RC Circuits.

The Inductor. The Capacitor. Series-Parallel Combinations of Inductance and Capacitance. Natural Response of RL and RC Circuits. Step Response of RL and RC Circuits. The Integrating Amplifier. Practical Perspective: Dual Slope Analog-to-Digital Converter.

Solution of First-Order Linear Differential Equation and RL & RC Circuits - by Prof. Farrokh Najmabadi (University of California, San Diego,USA)

- AC Circuits
### AC Circuits

The Sinusoidal Source. The Sinusoidal Response. The Phasor. The Passive Circuit Elements in the Frequency Domain. Kirchhoff's Laws in the Frequency Domain. Circuit Simplifications. The Node-Voltage Method. The Mesh-Current Method. Instantaneous, Average, and Reactive Power. The RMS Value and Power Calculations. Complex Power and Power Calculations.

- Exam Questions and Solutions