Circuit Analysis and Design

  1. AC Power Analysis
    1. Power in AC Circuits
      1. Instantaneous Power
        1. Mathematical Expression
          1. Time-Varying Characteristics
          2. Average Power
            1. Calculation Methods
              1. Resistive vs. Reactive Components
              2. RMS Values
                1. Definition and Significance
                  1. RMS Calculations for Sinusoidal Waveforms
                    1. RMS for Non-Sinusoidal Waveforms
                  2. Complex Power Analysis
                    1. Complex Power Definition
                      1. Mathematical Formulation
                        1. Relationship to Voltage and Current Phasors
                        2. Real Power
                          1. Definition and Physical Meaning
                            1. Calculation Methods
                            2. Reactive Power
                              1. Definition and Physical Meaning
                                1. Inductive vs. Capacitive Reactive Power
                                2. Apparent Power
                                  1. Definition and Calculation
                                    1. Relationship to Real and Reactive Power
                                    2. Power Triangle
                                      1. Geometric Representation
                                        1. Power Factor Relationships
                                      2. Power Factor and Correction
                                        1. Power Factor Definition
                                          1. Leading vs. Lagging Power Factor
                                            1. Power Factor Calculation
                                            2. Power Factor Correction
                                              1. Economic and Technical Motivations
                                                1. Capacitive Correction Methods
                                                  1. Inductive Correction Methods
                                                    1. Correction Circuit Design
                                                  2. Maximum Power Transfer in AC
                                                    1. Conditions for Maximum Power Transfer
                                                      1. Complex Load Matching
                                                        1. Efficiency Considerations

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                                                      7. Sinusoidal Steady-State Analysis

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                                                      9. Frequency Response and Resonance