Circuit Analysis

Contents

1 Circuit Analysis Basics
2 Ad Hoc Analysis Tools
3 Ad Hoc Analysis Examples
4 Measurement
5 Useful Circuit Theorems
6 Nodal Analysis
7 Mesh Analysis
8 Op Amps
9 AC Steady State Analysis
10 AC Steady State Power
11 Non-linear Circuit Elements
12 Power Electronics
13 Noise

Circuit Analysis Basics

Fundamental Circuit Analysis Concepts Lumped vs distributed element models, types of analysis (DC steady state, AC steady state, transient), and schematics.
Voltage and Current Introduces voltage and current.
Introduction to Power in Circuits Computing the power supplied or dissipated by elements in an electrical circuit, including the passive sign convention.
Voltage and Current Sources Independent and dependent voltage and current sources.
Ohm's Law V=IR

Ohm's Law Examples Examples of applying Ohm's Law to compute voltages, currents, and power in resistors.

Kirchhoff's Current Law KCL
Kirchhoff's Voltage Law KVL

Ad Hoc Analysis Tools

Single Loop Circuits Analysis of circuits with a single loop comprised of voltage supplies and resistors.
Voltage Divider Computing the voltage across one of two or more series resistors.
Single Node-Pair Circuits Analysis of circuits consisting of current sources and resisters in parallel.

AC Example-Single Node Pair Performing AC steady state analysis of a single node pair circuit.

Current Divider Computing the current through two or more parallel resistors.
Equivalent Resistance of Series Resistors Computing the equivalent resistance of resistors in series.
Equivalent Resistance of Parallel Resistors Computing the equivalent resistance of resistors in parallel.

Ad Hoc Analysis Examples

Equivalent Resistance Example-Ladder Network Computing the equivalent resistance of a ladder network which contains both series and parallel resistor combinations.
Equivalent Resistance Example-Hard Network 1 Computing the equivalent resistance of a resistor network that contains both series and parallel resistor combinations organized in ways that are somewhat tricky.
Equivalent Resistance Example-Hard Network 2 Like the hard network 1.
AC Example-Equivalent Impedance Computing equivalent impedance using AC steady state analysis.
Ad Hoc Analysis Example-Bridge Network Using equivalent resistances and the voltage divider to find voltages and currents in a bridge network.
Ad Hoc Analysis Example-Two Independent Sources Using equivalent resistances, Kirchhoff's Laws, and the voltage divider to find voltages and currents in a network with two sources.
Ad Hoc Analysis Example-Dependent Source (BJT Biasing) Analyzing a circuit with a dependent source using KVL and KCL.
Ad Hoc Analysis Example-Dependent Source (MOSFET Small Signal) Analyzing a circuit with a dependent source using KVL.
Ad Hoc Analysis Example-Dependent Source (Op Amp) Analyzing a circuit with a dependent source using KCL and KVL.
AC Example-Ad Hoc Analysis Applying analysis techniques of equivalent impedance and voltage divider to find voltages in a circuit using AC steady State Analysis.
AC Example-Dependent Voltage Source Analyzing a single loop circuit with a dependent voltage source to find an output voltage using AC steady State Analysis.

Measurement

Measurement of Voltage, Current, and Resistance How a multimeter is used to measure voltage, current, and resistance.
Measurement Errors-Meter Loading Explains how using a multimeter or other measurement device may introduce errors into the measurement in cases where the circuit resistance is of the same order of magnitude as the meter input impedance.

Useful Circuit Theorems

Introduction to Superposition Introduces the principle of superposition.

Superposition Example-Many Independent Sources Using superposition to analyze a circuit with an insane number of independent sources.
Superposition Example-Dependent Source Using superposition to analyze a circuit that has a dependent source.

Introduction to Thevenin's Theorem Thevenin's theorem says that you can represent an arbitrarily complex network of sources and resistors with a single voltage source and a single resistor.

Thevenin's Theorem-One Independent Source Shows how to find the Thevenin equivalent of a circuit with an independent source.
Thevenin's Theorem-Independent and Dependent Source Shows how to find the Thevenin equivalent for a circuit with both dependent and independent sources.
Thevenin's Theorem-One Dependent Source Shows how to find the Thevenin equivalent for a circuit with no independent sources and a dependent source using a test source.

Introduction to Norton's Theorem Norton's theorem says that you can represent an arbitrarily complex network of sources and resistors with a single current source and a single resistor.

Norton's Theorem Example-Bridge Network Finding the Norton equivalent circuit of a bridge network.

Nodal Analysis

Introduction to Nodal Analysis Performing nodal analysis.
Independent Current Source Performing nodal analysis for a circuit with an independent current source.
Independent Voltage Source (Easy) Performing nodal analysis when an independent voltage source is connected to the reference node.
Independent Voltage Source (Harder) Performing nodal analysis with an independent voltage source where a supernode must be used.
Dependent Current Source Performing nodal analysis for a circuit that has a dependent current source.
Dependent Voltage Source Performing nodal analysis when the circuit contains a dependent voltage source.
AC Example-Nodal Analysis Analyzing a circuit using nodal analysis find an output voltage using AC steady State techniques.

Mesh Analysis

Introduction to Mesh Analysis Performing mesh analysis
Independent Current Sources Performing mesh analysis for a circuit with independent current sources.
Mesh Analysis Example with Everything Performing mesh analysis with independent and dependent current and voltage sources.
AC Example-Mesh Analysis Analyzing a circuit using mesh analysis find a current using AC steady State techniques.

Op Amps

Introduction to the Op Amp Introduces the op amp and analysis of circuits containing op amps. The ideal op amp model is also introduced.
Op Amp Inverting Amplifier Using an ideal op amp model to find the gain of an op amp in an inverting configuration.
Op Amp Non-Inverting Amplifier Using an ideal op amp model to find the gain of an op amp in a non-inverting configuration.

AC Steady State Analysis

AC Fundamentals-Cosine Amplitude and Phase Reviews amplitude and phase of a sinusoid in the context of AC Steady State analysis.
Computing with Complex Numbers for AC Steady State Analysis Introduces several important techniques for computing with complex numbers when doing AC steady state circuit analysis.
Introduction to AC Steady State Analysis Introduces the concepts underlying AC steady state analysis and shows how this analysis is done using a simple voltage divider example.
AC Example-Single Node Pair Performing AC steady state analysis of a single node pair circuit.
AC Example-Equivalent Impedance Computing equivalent impedance using AC steady state analysis.
AC Example-Ad Hoc Analysis Applying analysis techniques of equivalent impedance and voltage divider to find voltages in a circuit using AC steady State Analysis.
AC Example-Dependent Voltage Source Analyzing a single loop circuit with a dependent voltage source to find an output voltage using AC steady State Analysis.
AC Example-Nodal Analysis Analyzing a circuit using nodal analysis find an output voltage using AC steady State techniques.
AC Example-Mesh Analysis Analyzing a circuit using mesh analysis find a current using AC steady State techniques.

AC Steady State Power

Introduction to AC Steady State Power The concepts behind AC steady state power are introduced.
AC Example-Complex Power Example of computing complex power and using it to find average power, reactive power, and the power factor.
AC Example-Power Factor Example of using a load's power factor to determine currents and voltages at the load.
RMS (Effective) Voltage and Current Shows how RMS (Root Mean Square) voltages and currents are defined and used in average power computations.

Non-linear Circuit Elements

V-I Curves Introduces Voltage-Current plots as a way to understand circuits with non-linear elements.
Introduction to the Diode An introduction to the VI characteristics of the diode.

Diode Example: Half Wave Rectifier Analyzing a diode half wave rectifier circuit.

Power Electronics

Switch-mode Boost Converter Introduction to and analysis of a switch-mode boost converter.

Noise

Introduction to Noise in Circuits An introduction to some fundamental concepts about noise in circuits.
Frequency Content of Noise Characterization of the frequency content of noise using the Power Spectral Density.
Signal-to-Noise Ratio Definition of the signal to noise ratio (SNR) and simple computations with it.
Introduction to Thermal Noise Introduction to thermal noise and computation of thermal noise power.
Noise in Op Amp Circuits Using simple op amp and resistor noise models to characterize the intrinsic noise generated by a non-inverting op amp amplifier.

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