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PHYS 241 Signal Processing - Coggle Diagram
PHYS 241 Signal Processing
RC Circuit
Properties of Capacitor: V=Q/C
Charging RC circuit with direct current (Use ODE to solve for current, voltage curve)
Discharging RC circuit
Capacitor Charging energy
Time constant R*C
Capacitor networks
Network theorems
I. Kirchhoff's Laws
II. Thevenin's Theorem
II. Norton's Theorem
Fourier Analysis
Fourier Series
Bandwidth Theorem (Uncertainty)
Fourier Theory
System Frequency Response
s-domain analysis
Poles and Zeros
Basics
Real/Ideal battery
Power dissipated by resistor
Linearity and Superposition
Circuit Theory beyond electrics
Linear relation between current and driving potential
System effectively 1D or has a network topology
Alternating Current(AC)
Square/Triangular wave
Low Frequency: differentiator
High Frequency: integrator
RC circuit and LR circuit analogy
Sine Wave
Use traditional ODE way to solve RC circuit
Convert input signal to complex form to calculate
Power dissipation in AC circuit (C, L dissipates 0 power, only R do)
Impedance
Impedance Divider and Phasor Diagram method
RC circuit as low-pass / high-pass (dB plot)
RLC circuit
transient response
Overdamped
Underdamped
Critically damped
In pure LC circuit, resonance goes forever
Driven RLC circuit
Capacitor Voltage
Quality Factor
Frequency domain analysis (current, phase offset)
Power input into RLC circuit
Analogy to spring-mass oscillator
RL circuit
Properties of inductor V=L* dI/dt
Energy stored in inductor: \( U(t) = L/2 \times I^2 \)
Inductor networks
Time constant: L/R