Electrical Circuits : a Primer.

Electric Circuits: A Primer -- Contents -- Preface -- I Static Circuits and Kirchhoff's Laws 2mm -- Static Fields, Energy, and Power -- Potential Energy Concepts -- An Electric Field: Potential Source Model -- A Conductor -- Definition of a Voltage -- Path Independence -- Charged Particles in Motion: Current -- Current Source -- Power and Energy -- Passive Sign Convention -- Conservation of Power -- Example: Conservation of Energy and Power -- Demonstration of Conservation of Power -- Discussion -- Electrical Circuits and Circuit Elements -- The Resistor -- Concept of a Node -- Dependent Voltage and Current Sources -- A Model for the Bipolar Junction Transistor -- The Operational Amplifier -- Discussion -- Kirchhoff's Loop and Current Laws -- Concept of a Loop: Kirchhoff's Loop Law -- Series and Parallel Circuit Elements -- Conservation of Charge: Kirchhoff's Nodal or Current Law -- Series Resistors and Voltage Division -- Parallel Resistors and Current Division -- Discussion -- The Nodal Method of Circuit Analysis -- Choosing the Potentials in the Circuit -- Choosing the Currents -- Applying the Kirchhoff Loop Law, Kirchhoff Current Law, and Ohm's Law -- The Kirchhoff Loop Law -- Ohm's Law -- The Kirchhoff Current Law -- Mathematical Solution -- Power Consumed and Delivered in the Circuit -- Software for Circuit Analysis -- Octave -- Combining Independent and Dependent Sources -- A Worked Example -- Discussion -- Fixed Potential Between Nodes: Supernode -- A Circuit Containing a Supernode -- The Mesh Method for Circuit Analysis -- An Example of the Application of the Mesh Method -- Supermesh: Current Source in Common -- Discussion -- Linearity, Superposition, and Equivalence -- Using Superposition: Analyze a Circuit -- Turn off the Current Source (Source with 0 Amps) -- Turn off the Potential Source (Source with 0 Volts).

Combine Two Separate Solutions -- Equivalence -- Discussion -- Thevenin and Norton Equivalent Circuits -- The Thevenin Model -- Computing the Thevenin Equivalent Model -- Thevenin Potential VTH -- Thevenin Resistance RTH -- The Norton Model -- A Second Example -- Comments -- Maximum Power Transfer -- Maximum Power Transfer Theorem -- An Example: Maximum Power Transfer -- Comments -- II Dynamic Sources, Energy Storage, and Transients 2mm -- The Capacitor and the Inductor -- The Capacitor -- Capacitors in Series and Parallel -- Inductor -- Inductors in Series and Parallel -- Comments and Summary -- The Source-Free RC Circuit -- The Source-Free RC Circuit Prototype -- A First Source-Free RC Circuit Example -- A Second Source-Free RC Circuit Example -- The Circuit for Negative Time -- The Circuit for Positive Time -- A Third Source-Free RC Circuit Example -- The Circuit for Negative Time -- The Circuit for Positive Time -- Comments -- The Source-Free RL Circuit -- The Source-Free RL Circuit Prototype -- A First Example of a Source-Free RL Circuit -- The RL Circuit for Negative Time -- The RL Circuit for Positive Time -- Second Example of a Source-Free RL Circuit -- Comments -- Step Response of an RC Circuit -- The Step Response RC Circuit Prototype -- Negative Time Circuit and Its Analysis -- Positive Time Circuit and Its Analysis -- Numerical Solution Based on MATLAB -- Numerical Solution -- Numerical Results -- Examples: Step Response of an RC Circuit -- A First Example -- Simplification and the Prototype Form -- Solution Based on the Simplified Circuit -- A Second Example -- The Negative Time Circuit -- The Positive Time Circuit -- Discussion -- Step Response of an RL Circuit -- Negative Time -- Positive Time -- Discussion -- Examples: Step Response of RL Circuits -- A First Example: Step Response RL Circuit -- Negative Time Circuit.

Positive Time Circuit -- The Solution for i(t) -- A Second Example: Step Response RL Circuit -- The Negative Time Circuit -- The Positive Time Circuit -- Series RLC Source-Free Circuits -- Series RLC Prototype -- Solution of the Second Order DE -- is Real: The Overdamped Case -- is Imaginary: The Underdamped Case -- = 0: The Critically Damped Case -- Numerical Solution Using MATLAB -- Results -- Appendix: Solution of Second Order DE -- Examples: Series RLC Source-Free Circuits -- A First Example -- Negative Time Circuit -- Positive Time Circuit -- Discussion -- A Second Example -- The Circuit for Negative Time -- The Circuit for Positive Time -- Discussion -- Source-Free Parallel RLC Circuits -- Solution of the Second Order DE -- is Real -- is Imaginary -- Discussion -- Examples for a Parallel RLC Circuit -- A First Example -- A Second Example -- Negative Time Circuit -- Positive Time Circuit -- The Use of Circuit Simulators -- III AC: Sinusoidal Voltage and Current Sources 2mm -- Sinusoidal Sources, the Phasor and Impedance -- The Theory of the Phasor -- A Resistor Using the Phasor Notation -- Time to Phasor Domain Transformation -- A Capacitor Using the Phasor: Impedance -- An Inductor Using the Phasor: Impedance -- Discussion -- Circuit Analysis Based on Phasor Domain Representation -- A First Example -- Phasor Domain Analysis -- Discussion -- A Second Example -- Comments -- Dependent and Independent Sources: Phasor Domain -- A First Example -- A Second Example -- Comments -- Superposition: Phasors -- Analysis Based on the AC Potential Source -- Analysis Based on the AC Current Source -- Analysis Based on the Static Voltage Source -- Applying Superposition in the Time Domain -- Comments -- The Maximum Power Transfer Theorem and Resonance -- Thevenin's Theorem for AC Circuits -- Thevenin Potential -- Thevenin Impedance ZTH -- Maximum Power Transfer.

Resonance -- Series Resonance -- Parallel Resonance -- Summary -- AC Power Concepts -- Energy, Instantaneous and Average Power -- Average Power for AC Circuits and Electrical Systems: Time Domain Analysis -- Average Power for AC: Phasor Domain -- Root Mean Square Power -- Summary -- Power Factor and Power Factor Correction -- Power Absorbed by the Resistor -- Power Absorbed by the Capacitor -- Power Absorbed by the Inductor -- Power Factor -- Power Factor Correction -- Power Factor Correction Example -- Summary of Power Terminology -- Magnetically Coupled Circuits -- An Example: Circuit Making Use of Mutual Coupling -- A Second Example: Mutual Coupling -- Linear Transformer -- The Ideal Transformer -- Comments -- Frequency Response and System Transfer Function -- Example: Transfer Function for an RC Circuit -- Example: Third Order Low Pass Filter -- Analysis in the Time Domain -- Bode Plot -- Summary -- Three Phase Systems: An Introduction -- Balanced Three Phase System -- Analysis of a Y-Y Balanced System -- Analysis of a - Balanced System -- Y and Transformations -- Y to Transformation -- to Y Transformation -- Comments -- Concluding Remarks and Further Reading -- Digital Simulation and Design -- History of EE -- About the Author -- Index.

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