Topic outline

• Course Objectives

The basic objective of this course is to introduce students to the fundamental theory and mathematics for the analysis of Alternating Current (AC) electrical circuits, frequency response and transfer function of circuits. Through the material presented in this course, students will learn:

• The fundamental principles in electric circuit theory and to be able to extend these principles into a way of thinking for problem solving in mathematics, science, and engineering
• To analyze analog circuits that include energy storage elements in the time and frequency domains, both theoretically and experimentally
• Ways in which electrical engineering shapes and benefits society
• To improve the oral, graphical, and written communication skills
• how to work effectively both individually and in groups
• To evaluate the personal learning process and understanding of the concepts and skills from class
• ASSIGNMENTS

The homework assignments:

·       The first page must be the title pageThe title page must contain the namesurname and thnumber of the student. It should also contain the due date.

·       Please also include a table of points for each problem.

·       The solution must contaiall the necessary steps.

·       Remember that you must turn in the 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)

HomeworkTitle.doc

Important 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.

• Sinusoids and Phasors

Sinusoidal sources and the sinusoidal response. Complex excitations and the phasor concept. Use of the impedance and admittance concepts to solve the sinusoidal responses. Kirchoff’s Laws in the frequency domain and impedance combinations

Nodal and mesh analysis for phasor circuits. Sinusoidal steady-state analysis using other techniques such as Superposition, Source Transformation and Thevenin, Norton equivalent circuits

• AC Power Analysis

Instantaneous and average power concepts and the effective or the RMS value. Maximum Power Transfer for impedance circuits. Other power concepts for phasor circuits such as the apparent power, power factor and the complex power

• Three-Phase Circuits

Balanced three-phase voltages. Three-phase connection types such as balanced Y-Y, Y-D and D-D connections. Power in the balanced circuits. Unbalanced three-phase systems

• Magnetically Coupled Circuits

Mutual inductance and energy in a coupled circuit. Analysis of linear transformer circuits. The ideal transformer and equivalent reflected transformer circuits, autotransformer circuits

• Frequency Response

Transfer function, decibel scale and Bode plots. The series and parallel resonance circuits. Frequency response of filters, passive and active filter circuits. Filter design using magnitude and frequency scaling

• The Laplace Transform and Circuit Analysis in the s-Domain

The Laplace transform, inverse Laplace transform and transform properties. Application of the Laplace transform to electric circuits and the transfer function