Circuit Analysis and Design

7.

Sinusoidal Steady-State Analysis

7.1.

Sinusoidal Functions and Phasor Representation

7.1.1.

Sinusoidal Waveform Characteristics

7.1.1.1.

Amplitude and Peak Values

7.1.1.2.

Frequency and Period

7.1.1.3.

Phase Angle and Phase Shift

7.1.2.

Phasor Concept and Mathematics

7.1.2.1.

Complex Number Representation

7.1.2.2.

Euler's Formula Application

7.1.2.3.

Phasor Diagrams

7.1.2.4.

Arithmetic Operations with Phasors

7.1.3.

Element Relationships in Frequency Domain

7.1.3.1.

Resistor Phasor Analysis

7.1.3.2.

Capacitor Phasor Analysis

7.1.3.3.

Inductor Phasor Analysis

7.2.

Impedance and Admittance Concepts

7.2.1.

Impedance Definition and Properties

7.2.1.1.

Mathematical Definition

7.2.1.2.

Magnitude and Phase

7.2.1.3.

Impedance of Basic Elements

7.2.2.

Admittance Definition and Properties

7.2.2.1.

Mathematical Definition

7.2.2.2.

Relationship to Impedance

7.2.2.3.

Admittance of Basic Elements

7.2.3.

Complex Impedance Calculations

7.2.3.1.

Series Impedance Combinations

7.2.3.2.

Parallel Impedance Combinations

7.2.3.3.

Mixed Impedance Networks

7.3.

AC Circuit Analysis Techniques

7.3.1.

Nodal Analysis in Frequency Domain

7.3.1.1.

Phasor Node Equations

7.3.1.2.

Complex Arithmetic Application

7.3.2.

Mesh Analysis in Frequency Domain

7.3.2.1.

Phasor Mesh Equations

7.3.2.2.

Complex Arithmetic Application

7.3.3.

Circuit Theorems in AC Analysis

7.3.3.1.

Thevenin Equivalent for AC Circuits

7.3.3.2.

Norton Equivalent for AC Circuits

7.3.3.3.

Superposition in Frequency Domain

7.3.3.4.

Maximum Power Transfer in AC

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8. AC Power Analysis