## COURSE OBJECTIVES

In this course, Electrical Engineering students will be taught to analyze RLC circuit in time domain, in phasor form, in frequency domain and in S domain. Student will learn power transmission in single and three phase system, their power measurement methods and power factor correction for efficient transmission of power. Students will be given the concept to formulate equations and choose among the different methods to analyze an electrical network.

### COURSE LEARNING OUTCOMES (CLO)

CLO: 1. Demonstrate the effect of power transfer, power dissipation and power factor on power transmission (Level: C3)
CLO: 2. Transform circuits to analyze, from Time domain to S- domain and vice versa (Level: C4)
CLO: 3. Analyze RLC circuits and differentiate between Transient and Steady State responses (Level: C4)
CLO: 4. Formulate Time domain, Phasor and Frequency domain response of second order circuits (Level: C5)

## COURSE CONTENTS

1. Basic RL and RC Circuits
• Source-Free RL and RC circuits
• Unit Step Function
• Driven RL and RC circuits
• Natural and Forced Response
2. The RLC Circuit
• Source-Free Parallel Circuit
• Overdamped Parallel Circuit
• Critical Damping
• Underdamped Parallel Circuit
• Source-Free Series Circuit
• Complete Response of RLC Circuit
• Lossless LC Circuit
• Characteristics of Sinusoids
• Forced Response to Sinusoids Functions
• The Phasor
• Nodal and Mesh Analysis
• Superposition, Source Transformations and Thevenin’s Theorem
• Phasor Diagrams
4. AC Circuit Power Analysis
• Instantaneous Power
• Average Power, Apparent Power and Power Factor
• Effective Values of Current and Voltage
• Complex Power
5. Polyphase Circuits
• Polyphase Systems
• Single-Phase Three-Wire Systems
• Three-Phase Y-Y Connection
• The Delta Connection
• Power Measurement in Three-Phase Systems
6. Magnetically Coupled Circuits
• Mutual Inductance
• Energy Considerations
• Linear Transformer
• Ideal Transformer
7. Complex Frequency and Laplace Transform
• Complex Frequency
• Laplace Transform
• Inverse Laplace Transform
8. Circuit Analysis in s-Domain
• Impedance and Admittance in s-Domain
• Nodal and Mesh Analysis in s-Domain
• Poles, Zeros and Transfer Functions
• Convolution
• Natural Response and s Plane