Network Analysis
Circuit Elements Review
Active vs passive, linear vs non-linear.
Independent Sources
Ideal voltage and current sources.
Dependent Sources
VCVS, VCCS, CCVS, CCCS definitions.
Source Transformation
Voltage to current source conversion.
Star-Delta Transformation
Resistor network simplification.
Mesh Analysis
Mesh currents, supermesh technique.
Nodal Analysis
Node voltages, supernode technique.
Superposition Theorem
Linearity requirement, multiple sources.
Maximum Power Transfer
Condition RL=Rth, efficiency analysis.
Reciprocity Theorem
Interchange of source and response.
Compensation Theorem
Resistance change effect.
Transient Behavior
Forced response, natural response, time constants.
First Order RC Circuits
Step response, source-free response.
First Order RL Circuits
Time constant, current rise and fall.
Second Order RLC Series
Damping cases: overdamped, underdamped.
RLC Parallel Response
Natural response, resonant frequency.
Laplace for Transients
Solving circuit differential equations using s-domain.
Initial Conditions
L and C behaviors at t=0+.
Phasors
Complex number representation of sinusoids.
Impedance and Admittance
Complex Z and Y, resistance, reactance.
AC Power Analysis
Real, Reactive, Apparent power, Power Factor.
Complex Power
S = P + jQ, power triangle.
Power Factor Correction
Capacitor bank sizing.
Three Phase Systems
Balanced Y-Y, Y-Delta connections.
Power Measurement 2-Wattmeter
Measuring 3-phase power.
Series Resonance
Resonant frequency, impedance minimum.
Parallel Resonance
Tank circuit, impedance maximum.
Q Factor and Bandwidth
Selectivity, half-power frequencies.
Z Parameters
Open-circuit impedance parameters.
Y Parameters
Short-circuit admittance parameters.
h Parameters
Hybrid parameters, transistor modeling.
ABCD Parameters
Transmission parameters, cascading networks.
Parameter Conversions
Relationships between Z, Y, h, ABCD.
T and Pi Networks
Equivalent circuits for two-ports.
Network Synthesis Intro
Analysis vs Synthesis, Hurwitz polynomials.
Positive Real Functions
Properties of driving point impedance functions.
LC Network Synthesis
Foster I and II, Cauer I and II forms for LC.
RL Network Synthesis
Synthesis of RL driving point impedances.
Foster Forms
Partial fraction expansion method.
Cauer Forms
Continued fraction expansion method.
Graph Theory
Nodes, branches, loops, incidence matrix.
Filter Fundamentals
Passive LPF, HPF, BPF, BSF prototypes.
Constant-k Filters
Image impedance, section design.
Dot Convention
Coupled inductors, mutual inductance.
Kirchhoff's Laws
KCL and KVL analysis.
Thevenin's Theorem
Equivalent voltage Vth, equivalent resistance Rth.
Norton's Theorem
Equivalent current In, parallel resistance Rn.
Millman's Theorem
Parallel voltage sources equivalent.
Tellegen's Theorem
Conservation of power in networks.
g Parameters
Inverse hybrid parameters.
Locus Diagrams
Current locus for variable R, L, or C.
Interconnection of Two-Ports
Series, Parallel, Cascade connections.
Properties of LC/RC/RL Immitance
Poles and zeros on s-plane.
Cut Set and Tie Set
Fundamental cut sets and tie sets matrices.
Duality
Dual networks, construction rules.
SPICE Basics
Netlist structure, simulation types.
m-derived Filters
Sharper cutoff, matching impedance.
Unbalanced 3-Phase
Symmetrical components intro.
RC Network Synthesis
Synthesis of RC driving point impedances.