Network Analysis
59 articles • Complete guide
Build rock-solid basics with theorems, transients, phasors, resonance & two-port networks – must-have for every ECE/EEE student.
Multiple solving methods and visuals so you never get stuck in exams again. Interactive circuit solver, transient & phasor visualizers, virtual labs, quizzes coming soon.
Curriculum
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Circuit Elements
R, L, C, voltage/current sources, dependent sources
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.
Dot Convention
Coupled inductors, mutual inductance.
Star-Delta Transformation
Resistor network simplification.
Network Theorems
KVL, KCL, Thevenin, Norton, superposition, max power transfer
Kirchhoff's Laws
KCL and KVL analysis.
Mesh Analysis
Mesh currents, supermesh technique.
Nodal Analysis
Node voltages, supernode technique.
Superposition Theorem
Linearity requirement, multiple sources.
Thevenin's Theorem
Equivalent voltage Vth, equivalent resistance Rth.
Norton's Theorem
Equivalent current In, parallel resistance Rn.
Maximum Power Transfer
Condition RL=Rth, efficiency analysis.
Reciprocity Theorem
Interchange of source and response.
Millman's Theorem
Parallel voltage sources equivalent.
Tellegen's Theorem
Conservation of power in networks.
Compensation Theorem
Resistance change effect.
Transient Analysis
RL, RC, RLC circuits, first and second order responses
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+.
Sinusoidal Steady State
Phasors, impedance, admittance, power calculations
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.
Unbalanced 3-Phase
Symmetrical components intro.
Resonance
Series, parallel resonance, Q factor, bandwidth
Two-Port Networks
Z, Y, h, ABCD parameters, interconnections
Z Parameters
Open-circuit impedance parameters.
Y Parameters
Short-circuit admittance parameters.
h Parameters
Hybrid parameters, transistor modeling.
ABCD Parameters
Transmission parameters, cascading networks.
g Parameters
Inverse hybrid parameters.
Parameter Conversions
Relationships between Z, Y, h, ABCD.
Interconnection of Two-Ports
Series, Parallel, Cascade connections.
T and Pi Networks
Equivalent circuits for two-ports.
Network Synthesis
LC, RC, RL synthesis, Foster, Cauer forms
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.
RC Network Synthesis
Synthesis of RC driving point impedances.
RL Network Synthesis
Synthesis of RL driving point impedances.
Foster Forms
Partial fraction expansion method.
Cauer Forms
Continued fraction expansion method.
Properties of LC/RC/RL Immitance
Poles and zeros on s-plane.
Other Topics
Graph theory, state variables, SPICE
Graph Theory
Nodes, branches, loops, incidence matrix.
Cut Set and Tie Set
Fundamental cut sets and tie sets matrices.
Duality
Dual networks, construction rules.
SPICE Basics
Netlist structure, simulation types.
Filter Fundamentals
Passive LPF, HPF, BPF, BSF prototypes.
Constant-k Filters
Image impedance, section design.
m-derived Filters
Sharper cutoff, matching impedance.