Electric Circuit Analysis
Every method in this subject — mesh, nodal, Thevenin, phasors — is bookkeeping on top of two conservation laws. These topics animate the bookkeeping so the method stops looking like a recipe.
Start from the beginning →1 topic you can watch now, 25 still to come.
Foundations
The two laws, and the elements they are applied to.
- Charge, current, voltage and power
- R, L and C element equations
- Independent and dependent sources
- Series-parallel reduction and dividers
- Star-delta transformation
Systematic methods
Turning a circuit into a set of equations, mechanically.
- Mesh current analysis
- Node voltage analysis
- Supermesh and supernode
- Source transformation
Network theorems
Shortcuts that are only shortcuts once you know what they assume.
- Superposition
- Thevenin and Norton equivalents
- Maximum power transfer
- Reciprocity and Millman's theorem
AC steady state
Sinusoids, made algebraic by turning them into phasors.
- Sinusoids, RMS and average values
- Phasors and impedance
- Power: real, reactive, apparent and factor
- Series and parallel resonance
Transient analysis
What happens in the instant after a switch closes.
- First-order RL and RC response
- Time constant and initial conditions
- Second-order RLC: damping cases
- Laplace transform methods
Two-port networks and topology
Treating a whole circuit as a black box with four terminals.
- Z, Y, h and ABCD parameters
- Interconnection of two-ports
- Graph theory, trees and cutsets
- Coupled circuits and mutual inductance