Circuit Analysis and Design

  1. Energy Storage Elements and Transient Analysis
    1. Capacitors in Circuits
      1. Capacitance and Current-Voltage Relationship
        1. Definition of Capacitance
          1. Mathematical I-V Relationship
            1. Physical Interpretation
            2. Energy Storage in Capacitors
              1. Energy Formula Derivation
                1. Charging and Discharging Behavior
                  1. Energy Transfer Mechanisms
                  2. Capacitor Combinations
                    1. Series Combination
                      1. Parallel Combination
                        1. Mixed Combinations
                        2. Initial Conditions and Continuity
                          1. Voltage Continuity Property
                            1. Initial Condition Determination
                          2. Inductors in Circuits
                            1. Inductance and Current-Voltage Relationship
                              1. Definition of Inductance
                                1. Mathematical I-V Relationship
                                  1. Magnetic Field Considerations
                                  2. Energy Storage in Inductors
                                    1. Energy Formula Derivation
                                      1. Magnetic Field Energy
                                        1. Energy Transfer Mechanisms
                                        2. Inductor Combinations
                                          1. Series Combination
                                            1. Parallel Combination
                                              1. Mixed Combinations
                                              2. Initial Conditions and Continuity
                                                1. Current Continuity Property
                                                  1. Initial Condition Determination
                                                2. First-Order Transient Analysis
                                                  1. Source-Free RC Circuits
                                                    1. Natural Response Derivation
                                                      1. Time Constant Concept
                                                        1. Exponential Decay Characteristics
                                                        2. Source-Free RL Circuits
                                                          1. Natural Response Derivation
                                                            1. Time Constant Concept
                                                              1. Exponential Decay Characteristics
                                                              2. Step Response Analysis
                                                                1. RC Circuit Step Response
                                                                  1. RL Circuit Step Response
                                                                    1. Forced and Natural Response Components
                                                                      1. Initial and Final Value Determination
                                                                      2. General First-Order Circuits
                                                                        1. Standard Form and Solution Method
                                                                          1. Time Constant Identification
                                                                            1. Complete Response Formulation
                                                                          2. Second-Order Transient Analysis
                                                                            1. Source-Free RLC Circuits
                                                                              1. Series RLC Circuit Analysis
                                                                                1. Parallel RLC Circuit Analysis
                                                                                  1. Characteristic Equation Formation
                                                                                    1. Initial Condition Application
                                                                                    2. RLC Circuit Step Response
                                                                                      1. Complete Response Derivation
                                                                                        1. Natural and Forced Components
                                                                                          1. Initial and Final Conditions
                                                                                          2. Response Classification
                                                                                            1. Overdamped Response
                                                                                              1. Conditions and Mathematical Form
                                                                                                1. Physical Interpretation
                                                                                                2. Critically Damped Response
                                                                                                  1. Conditions and Mathematical Form
                                                                                                    1. Optimal Settling Characteristics
                                                                                                    2. Underdamped Response
                                                                                                      1. Conditions and Mathematical Form
                                                                                                        1. Oscillatory Behavior
                                                                                                      2. Circuit Parameters and Response
                                                                                                        1. Damping Ratio
                                                                                                          1. Natural Frequency
                                                                                                            1. Quality Factor
                                                                                                              1. Bandwidth Relationships

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                                                                                                          5. Operational Amplifiers

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                                                                                                          7. Sinusoidal Steady-State Analysis