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CIR:020117Mathematical problem title

Circuits 2 Unbuffered RC Ladder TFCircuits 2 Laplace Partial Fractions

Circuit application of Laplace transforms and switchingCircuits II · Mixed review

CIR:020118The series-resistor voltage starts at 1 V; the capacitor voltage starts at 0 V

Circuits 2 Parallel Load TransferCircuits 2 Initial Value Feedthrough

Circuit application of Laplace transforms and switchingCircuits II · Mixed review

CIR:020219Equal-RC Wien network peaks at 1/3; half-power product 1 and difference 3

Circuits 2 Wien Network TFCircuits 2 Normalized Half Power

Circuit transfer functions, poles, zeros, and Bode synthesisCircuits II · Mixed review

CIR:020220At w=10 the exact |H| is 100sqrt(2)/101, not the Bode corner value 1

Circuits 2 Bode Exact EvaluationCircuits 2 Corner Versus Exact

Circuit transfer functions, poles, zeros, and Bode synthesisCircuits II · Mixed review

CIR:020221Z=(2s+1)/(s+1) is positive-real and is 1 ohm in series with 1 ohm || 1 H

Circuits 2 Positive Real TestCircuits 2 Foster RL Synthesis

Circuit transfer functions, poles, zeros, and Bode synthesisCircuits II · Mixed review

CIR:020322A matched 1 ohm pair with a shunt series-LC is a notch, not a band-pass

Shunt Series LC Voltage DividerNotch Half Power From End Gain

Resonance and passive filter designCircuits II · Mixed review

CIR:020323A first-order low-pass cannot meet both specs; two buffered sections can

First Order Cutoff FeasibilityBuffered Section Multiplication

Resonance and passive filter designCircuits II · Mixed review

CIR:020424Series-then-shunt is not shunt-then-series: cascade order changes Zin

Abcd Matrix Cascade OrderLoaded Zin From Transmission

Two-port networks and interconnectionCircuits II · Mixed review

CIR:020425Even and odd currents see 4 Ω and 2 Ω; declare the RMS power convention

Symmetric Two Port Even OddDeclared Rms Port Power

Two-port networks and interconnectionCircuits II · Mixed review

CIR:020426A 6 ohm gyrator inverts 9 ohm to 4 ohm and stores no net port power

Gyrator Impedance InversionNonreciprocal Port Power Balance

Two-port networks and interconnectionCircuits II · Mixed review

CIR:020527Common and difference RC modes, not a hidden pole, give the two-node step

RC Common Difference Modal DecompositionRest TO Step State Response

Circuit state-space modelsCircuits II · Mixed review

CIR:020528Discarding the fast balanced RC mode costs exactly twice its Hankel singular value

Balanced Gramian Hankel Singular ValuesHinf Truncation Error Two Sigma

Circuit state-space modelsCircuits II · Mixed review

CIR:020629A 50 ohm quarter-wave match is exact only at lambda/4; at lambda/8 the feed sees 40-j30

Quarter Wave Transformer DesignOff Design Zin Feed Reflection

Transmission-line foundationsCircuits II · Mixed review

CIR:020630RMS standing-wave extrema and a lambda/8 voltage max recover ZL=30+j40

Rms Standing Wave Gamma From ExtremaLoad Recovery From Nearest Vmax

Transmission-line foundationsCircuits II · Mixed review

CIR:020631On a lossless line the forward-wave power is the stored energy density times the phase speed

Telegrapher Z0 Phase SpeedForward Wave Energy Velocity

Transmission-line foundationsCircuits II · Mixed review