Circuit Theory

Most of electrical engineering was invented by 1925, reduced to practice by 1936, and mathematically analyzed and scientifically understood by 1945. So what makes this book different? Symbolic computation programs such as MATLAB, MuPAD, and Mathematica eliminate calculators and time consuming math. Cloud computing at sites like Circuit Lab make simulation possible on a cell phone. This leaves room for more material to be covered at greater depth. This Course The 1st and 2nd order differential equations can be solved with Euler's equation (phasors) and calculus. This solution technique is compared with Laplace transforms. The course builds on Kirchhoff's laws to write differential equations using transfer functions. The particular solution reduces to a final condition if sources are replaced with a unit step function. All that needs to be calculated is the homogeneous step response. Then response to any complex voltage or current source can then be found through the convolution integral. Requirements This book will expect the reader to have a firm understanding of Calculus specifically, and will not stop to explain the fundamental topics in Calculus. This book shows where Laplace transforms provide an alternative solution, but only in a few examples in parallel with phasor solutions. This book is not nearly completed, and could still use a lot of work. People with knowledge of the subject are encouraged to contribute. Calculus Advanced Circuit Theory/All Chapters Print Version: Print Version (Circuit Theory/All Chapters print version) (discuss) Warning: The print version is over 90 pages long, as of 2 August 2006. Cover Page: Cover Page All Pages: All Pages Introduction Circuit Theory Introduction Circuit Basics Terminology Variables and Units Circuit Basics Resistors Negative Resistance Capacitors Inductors Power supplies Terminal Relations Transistors /IV curves/ /Transistor symbols/ /Dependent sources// /Operational Amplifiers/ /Analog Computer/ Circuit Analysis /Circuit Definition/ Kirchhoff's Law /Simultaneous Equations/ /Examples/ Steady State Response Sinusoidal Sources Phasors Power Maximum Power Transfer Phasor Examples Power Factor Mitigation Complex Frequency Complex Frequency Examples Circuit Analysis Tips and Tricks Impedance, Node, Mesh Impedance Series Impedance Voltage Divider Parallel Impedance Current Divider Node Mesh Source Transformation Dangling Resistors Shorted Resistors Open Puzzles One Port Devices Source Injection Thevenin Norton Circuit Simulation Bridge Circuit Example Review Problem Tips and Tricks Superposition Extra Element Symmetry Y Δ Transform Y Δ Example Quadratic Equation Revisited Transient Response Transients Initial Conditions Exponential Time Constants First Order Initially Excited First Order Source Excitement First Order Initial and Source Second Order Initially Excited Second Order Source Excitement Convolution Integral More Examples Transfer Functions Transfer Function Examples Circuit Theory/Transients Summary and Study guide State Variables Introduction Filters Fourier Transform Decibel Bode Plots Filters Active Filters Control On Off Proportional Integral Derivative Power Source Transformations Analysis Methods 75% Electric circuits series