# An Introduction to AC/DC Circuit Theory

### By Steven Roman

#### Coming later this year

*An Introduction to AC/DC Circuit Theory* is a concise (about 150 pages) but elementary treatment of AC and DC circuit theory that can be used for self-study or to supplement a textbook in the subject.

## Table of Contents

- Electric Charge and Electric Field
- Electric Charge, Conductors and Insulators
- Coulomb's Law
- Electric Field
- Electric Field Lines
- Electric Flux
- Gauss's Law

- Electric Potential Energy
- Electrostatic Potential Energy and Work

- Current, Resistance and Electromotive Force
- Series and Parallel Circuits
- The Lumped Element Model
- Current and Current Density
- Current Through a Conductor
- Current Density and Conductivity
- Electromotive Force
- Ohm's Law
- Resistance
- Direct and Alternating Current
- Harmonics
- Average and Root-Mean-Square Values
- Instantaeous Values
- Power of a Circuit Element: Active and Passive Components

- Overview of Circuit Elements
- Resistors
- Capacitors
- Inductors
- Power and Circuit Elements
- Switches

- Resistance and Kirchhoff's Laws
- Resistance and Resistors
- Kirchhoff's Laws
- Equivalent Resistance
- Application: Voltage Dividers
- Current Sources

- Complex Numbers and Phasors
- Capacitors and Capacitance
- Capacitors and Capacitance
- How Current Flows in a Capacitive Circuit
- Voltage and Current Across a Capacitor
- Finding Maximum Currents and Voltages
- Capacitors and High-Pass Filters
- Capacitive Coupling
- Dialectrics
- Capacitors in Series and Parallel

- Magnetic Fields and Magnetic Forces
- The Link Between Electricity and Magnetism
- Magnetic Fields and Fluxes
- Magnetic Force

- Electromagnetic Induction
- Faraday's Law For Closed Loops
- The Direction of an Induced Emf; Lenz's law
- Inductance
- Transformers
- Alternators
- Inductors

- DC Circuit Analysis
- Growth and Decay of Voltage/Current
- RLC Circuits

- AC Circuit Analysis
- Power in AC Circuits
- Semiconductors and Semiconductor Elements
- Electron Energy
- The Band Theory of Electrical Conduction
- Semiconductors
- P-N Junctions
- Diodes
- Transistors
- Rectifiers

- Applications
- Frequency Filtering in an AC Circuit
- Resonance in an AC Circuit

- Units
- Some Trigonometric Formulas
- Some Phase Shifts
- Some Integrals

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