1270

 

by

Neil E. Cotter

Research Assistant Professor

Electrical and Computer Engineering Department

University of Utah

 

Contents

(† = missing, * = article)

Last Updated: 8/12/05

 

Algebra

Simultaneous equations

Example (pdf)

Circuits

Basic DC quantities

Current

Voltage

Power

Basic DC circuits

Passive sign convention

Example 1 | (pdf)

Example 2 | (pdf)

Sources: voltage, current, independent, dependent

Example 1 (pdf)

Kirchhoff's laws

Current sums at nodes | (pdf)

Voltage loops | (pdf)

Writing v and i eqns

Example 1 | (pdf)

Example 2 | (pdf)

Solving circuits

Example 1 (pdf)

Example 2 (pdf)

Ohm's law

Statement

Series resistors

Parallel resistors

Resistor networks

Example 1 (pdf)

v and i dividers

Voltage divider

Current divider

Example (pdf)

Consistency checks

Node-voltage method

Theory

Current summations

Super-nodes

Dependent sources

Example 1 (pdf)

Example 2 (pdf)

Example 3 (pdf) Matlab (txt)

Example 4 (pdf)

Circuits (cont.)

Mesh-current method

Theory

Voltage loops

Super-meshes

Dependent sources

Example 1 (pdf)

Example 2 (pdf)

Example 3 (pdf)

Thevenin equivalent

Thevenin equivalent circuit

Norton equivalent circuit

Thevenin<->Norton xform

Example (pdf)

Deriving Thevenin equivalent

vThev = vout open circuit

RThev derivation

R seen from output

vThev/ishort circuit

1V/iinto circuit

Example (pdf)

Max power xfer

Example (pdf)

Complex Analysis

explanations of j

Convenient numerical examples

Basic math

Addition and subtraction

Example | (pdf)

Multiplication

Rationalization

Example 1 | (pdf)

Example 2 | (pdf)

Conjugate

Definition | (pdf)

Example 1 | (pdf)

Example 2 | (pdf)

Example 3 | (pdf)

Magnitude

Example 1 | (pdf)

Phase

Re[]

Example 1 | (pdf)

Example 2 | (pdf)

Im[]

Roots and Powers

Nth roots

example | (pdf)

Nth roots of unity

Powers

example | (pdf)

Rectangular and Polar Forms

Euler's formula (complex exp)

Polar form

Rect<->polar xform right triangle

Example 1 | (pdf)

Example 2 | (pdf)

Example | (pdf)

Complex Analysis (cont.)

Phasors

Tutorial | (pdf)

Rotating stick shadow

Identities

Phasor math

Phasor<->inverse-phasor xform

Example 1 | (pdf)

Example 1 (cont) (pdf)

Example 2 | (pdf)

Example 2 (cont) (pdf)

Phasor diagrams

Example (pdf)

Impedance circuits

RLC impedances

Ohm's law

Statement

Series impedances

Parallel impedances

Impedance networks

Example 1 (pdf)

Example 2 (pdf)

Kirchhoff's laws

Example (pdf)

Node-voltage method

Example (pdf)

Mesh-current method

Example (pdf)

Thevenin equivalent

Deriving Thevenin equivalent

Example 1 (pdf)

Example 2 (pdf)

Op-Amps

Example 1 (pdf)

Example 2 (pdf)

IMPEDANCE circuits

Example (pdf)

RLC circuits

C (capacitor) equations

i = C dv/dt

Series capacitors

Parallel capacitors

Initial conditions

C = open circuit

Charge sharing

V src model

Final conditions open circuit

Energy stored

Example 1 (pdf)

Example 2 (pdf)

L (inductor) equations

v = L di/dt

Series inductors

Parallel inductors

Initial conditions

L = wire

Current division

I src model

Final conditions wire

Energy stored

Example 1 (pdf)

Example 2 (pdf)

RLC circuits (cont.)

General RC/RL solution

General solution

Time const Thev equiv

Solution procedure

Example 1 (pdf)

Example 2 (pdf)

Example 3 (pdf)

Example 4 (pdf)

Example 5 | (pdf)

Example 6 (pdf)

Example 7 (pdf)

Superposition

Circuits

VDC + VDC

Example 1 (pdf)

Example 2 (pdf)

VAC + VAC

Example (pdf)