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CIR:020117The unit unbuffered RC ladder is 1/(s^2+3s+1), not a buffered 1/(s+1)^2

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Circuits 2 Unbuffered RC Ladder TFCircuits 2 Laplace Partial Fractions

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Circuit application of Laplace transforms and switchingCircuits II · Mixed review

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

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Circuits 2 Parallel Load TransferCircuits 2 Initial Value Feedthrough

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Circuit application of Laplace transforms and switchingCircuits II · Mixed review

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

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Circuits 2 Wien Network TFCircuits 2 Normalized Half Power

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

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

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Circuits 2 Bode Exact EvaluationCircuits 2 Corner Versus Exact

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

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

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Circuits 2 Positive Real TestCircuits 2 Foster RL Synthesis

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

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

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Shunt Series LC Voltage DividerNotch Half Power From End Gain

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Resonance and passive filter designCircuits II · Mixed review

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

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First Order Cutoff FeasibilityBuffered Section Multiplication

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Resonance and passive filter designCircuits II · Mixed review

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

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Abcd Matrix Cascade OrderLoaded Zin From Transmission

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Two-port networks and interconnectionCircuits II · Mixed review

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

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Symmetric Two Port Even OddDeclared Rms Port Power

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Two-port networks and interconnectionCircuits II · Mixed review

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

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Gyrator Impedance InversionNonreciprocal Port Power Balance

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Two-port networks and interconnectionCircuits II · Mixed review

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

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RC Common Difference Modal DecompositionRest TO Step State Response

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Circuit state-space modelsCircuits II · Mixed review

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

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Balanced Gramian Hankel Singular ValuesHinf Truncation Error Two Sigma

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Circuit state-space modelsCircuits II · Mixed review

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

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Quarter Wave Transformer DesignOff Design Zin Feed Reflection

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Transmission-line foundationsCircuits II · Mixed review

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

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Rms Standing Wave Gamma From ExtremaLoad Recovery From Nearest Vmax

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Transmission-line foundationsCircuits II · Mixed review

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

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Telegrapher Z0 Phase SpeedForward Wave Energy Velocity

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Transmission-line foundationsCircuits II · Mixed review

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909011A capacitor C=4.0\,\mu\mathrm{F} is uncharged for all t<0.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909012For t<0, a 30\,\mathrm{V} independent DC voltage source, a 5.0\,\Omega resistor, and a 10\,\mathrm{mH} inductor for…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909013For t<0, a 15\,\mathrm{V} independent DC voltage source, a 5.0\,\Omega resistor, and a 20\,\mathrm{mH} inductor for…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909014An independent DC voltage source of 48\,\mathrm{V} has its negative terminal at the reference node 0 and its positi…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909015For all t<0 a 25\,\mathrm{V} independent DC voltage source is connected directly across a capacitor C=16\,\mu\mathr…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909016For t<0 a series loop consisting of a 20\,\mathrm{V} independent DC voltage source, a resistor R=10\,\Omega, and an…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909017A capacitor C=5.0\,\mu\mathrm{F} has v_C(0^-)=-10\,\mathrm{V}.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909018For t<0, a 24\,\mathrm{V} independent DC voltage source, a 6.0\,\Omega resistor, and an 18\,\mathrm{mH} inductor fo…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909019An independent DC current source of 4.0\,\mathrm{mA}, a resistor R=25\,\mathrm{k}\Omega, and a capacitor C=8.0\,\ma…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909020An independent DC voltage source of 18\,\mathrm{V} has its negative terminal at a reference node 0.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909021An independent DC current source of 60\,\mathrm{mA} injects current into node a from the reference node 0.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909022A capacitor C=10\,\mu\mathrm{F} is isolated from all other elements for t<4.0\,\mathrm{ms} and holds the constant v…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909023A single loop contains, in series, an independent DC voltage source of 10\,\mathrm{V}, a resistor R=5.0\,\Omega, an…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909024A capacitor C=2.0\,\mu\mathrm{F} is uncharged for t<0.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909025A single loop contains a resistor R=8.0\,\Omega, an inductor L=32\,\mathrm{mH}, and an independent voltage source v…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909026A single loop contains, in series, a 36\,\mathrm{V} independent DC voltage source, a 9.0\,\mathrm{k}\Omega resistor…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909027The circuit has a reference node 0 and node a.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909028A capacitor C=8.0\,\mu\mathrm{F} is uncharged for t<0.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909029A capacitor C=5.0\,\mu\mathrm{F} is uncharged for t<0.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909030The circuit has a reference node 0 and nodes s and a.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909031A source-free series loop contains a resistor R=4.0\,\Omega, an inductor L=0.50\,\mathrm{H}, and a capacitor C=\fra…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909032A resistor R=1.50\,\Omega, an inductor L=1.00\,\mathrm{H}, and a capacitor C=\frac{1}{12}\,\mathrm{F} share a singl…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909033A source-free series loop consists of R=16.0\,\Omega, L=4.00\,\mathrm{H}, and C=\frac{1}{16}\,\mathrm{F}.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909034A resistor R=5.00\,\Omega, an inductor L=1.00\,\mathrm{H}, and a capacitor C=\frac{1}{25}\,\mathrm{F} are connected…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909035A DC voltage source v_s, a resistor R=4.00\,\Omega, an inductor L=1.00\,\mathrm{H}, and a capacitor C=\frac{1}{20}\…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Problem library

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Topic choices for Circuits II are shortened. Search still covers every problem.

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CIR:020117The unit unbuffered RC ladder is 1/(s^2+3s+1), not a buffered 1/(s+1)^2

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Circuits 2 Unbuffered RC Ladder TFCircuits 2 Laplace Partial Fractions

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Circuit application of Laplace transforms and switchingCircuits II · Mixed review

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

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Circuits 2 Parallel Load TransferCircuits 2 Initial Value Feedthrough

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Circuit application of Laplace transforms and switchingCircuits II · Mixed review

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

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Circuits 2 Wien Network TFCircuits 2 Normalized Half Power

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

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

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Circuits 2 Bode Exact EvaluationCircuits 2 Corner Versus Exact

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

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

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Circuits 2 Positive Real TestCircuits 2 Foster RL Synthesis

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

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

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Shunt Series LC Voltage DividerNotch Half Power From End Gain

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Resonance and passive filter designCircuits II · Mixed review

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

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First Order Cutoff FeasibilityBuffered Section Multiplication

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Resonance and passive filter designCircuits II · Mixed review

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

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Abcd Matrix Cascade OrderLoaded Zin From Transmission

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Two-port networks and interconnectionCircuits II · Mixed review

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

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Symmetric Two Port Even OddDeclared Rms Port Power

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Two-port networks and interconnectionCircuits II · Mixed review

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

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Gyrator Impedance InversionNonreciprocal Port Power Balance

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Two-port networks and interconnectionCircuits II · Mixed review

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

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RC Common Difference Modal DecompositionRest TO Step State Response

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Circuit state-space modelsCircuits II · Mixed review

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

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Balanced Gramian Hankel Singular ValuesHinf Truncation Error Two Sigma

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Circuit state-space modelsCircuits II · Mixed review

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

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Quarter Wave Transformer DesignOff Design Zin Feed Reflection

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Transmission-line foundationsCircuits II · Mixed review

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

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Rms Standing Wave Gamma From ExtremaLoad Recovery From Nearest Vmax

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Transmission-line foundationsCircuits II · Mixed review

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

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Telegrapher Z0 Phase SpeedForward Wave Energy Velocity

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Transmission-line foundationsCircuits II · Mixed review

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909011A capacitor C=4.0\,\mu\mathrm{F} is uncharged for all t<0.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909012For t<0, a 30\,\mathrm{V} independent DC voltage source, a 5.0\,\Omega resistor, and a 10\,\mathrm{mH} inductor for…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909013For t<0, a 15\,\mathrm{V} independent DC voltage source, a 5.0\,\Omega resistor, and a 20\,\mathrm{mH} inductor for…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909014An independent DC voltage source of 48\,\mathrm{V} has its negative terminal at the reference node 0 and its positi…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909015For all t<0 a 25\,\mathrm{V} independent DC voltage source is connected directly across a capacitor C=16\,\mu\mathr…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909016For t<0 a series loop consisting of a 20\,\mathrm{V} independent DC voltage source, a resistor R=10\,\Omega, and an…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909017A capacitor C=5.0\,\mu\mathrm{F} has v_C(0^-)=-10\,\mathrm{V}.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909018For t<0, a 24\,\mathrm{V} independent DC voltage source, a 6.0\,\Omega resistor, and an 18\,\mathrm{mH} inductor fo…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909019An independent DC current source of 4.0\,\mathrm{mA}, a resistor R=25\,\mathrm{k}\Omega, and a capacitor C=8.0\,\ma…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909020An independent DC voltage source of 18\,\mathrm{V} has its negative terminal at a reference node 0.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909021An independent DC current source of 60\,\mathrm{mA} injects current into node a from the reference node 0.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909022A capacitor C=10\,\mu\mathrm{F} is isolated from all other elements for t<4.0\,\mathrm{ms} and holds the constant v…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909023A single loop contains, in series, an independent DC voltage source of 10\,\mathrm{V}, a resistor R=5.0\,\Omega, an…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909024A capacitor C=2.0\,\mu\mathrm{F} is uncharged for t<0.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909025A single loop contains a resistor R=8.0\,\Omega, an inductor L=32\,\mathrm{mH}, and an independent voltage source v…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909026A single loop contains, in series, a 36\,\mathrm{V} independent DC voltage source, a 9.0\,\mathrm{k}\Omega resistor…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909027The circuit has a reference node 0 and node a.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909028A capacitor C=8.0\,\mu\mathrm{F} is uncharged for t<0.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909029A capacitor C=5.0\,\mu\mathrm{F} is uncharged for t<0.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909030The circuit has a reference node 0 and nodes s and a.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909031A source-free series loop contains a resistor R=4.0\,\Omega, an inductor L=0.50\,\mathrm{H}, and a capacitor C=\fra…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909032A resistor R=1.50\,\Omega, an inductor L=1.00\,\mathrm{H}, and a capacitor C=\frac{1}{12}\,\mathrm{F} share a singl…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909033A source-free series loop consists of R=16.0\,\Omega, L=4.00\,\mathrm{H}, and C=\frac{1}{16}\,\mathrm{F}.

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909034A resistor R=5.00\,\Omega, an inductor L=1.00\,\mathrm{H}, and a capacitor C=\frac{1}{25}\,\mathrm{F} are connected…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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CIR:9909035A DC voltage source v_s, a resistor R=4.00\,\Omega, an inductor L=1.00\,\mathrm{H}, and a capacitor C=\frac{1}{20}\…

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Laplace NetworksCircuits 2 Problem Solving

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Circuit application of Laplace transforms and switchingCircuits II · Calculation

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Problem results

CIR:9909001A capacitor C=8.0\,\mu\mathrm{F} is connected between nodes p and n, with capacitor voltage v_C=v_{pn} polarised po…

CIR:9909002An inductor L=40\,\mathrm{mH} is connected between nodes a and b, with inductor current i_L directed from a to b th…

CIR:9909003A single loop contains, in clockwise order from the reference node 0: an independent DC voltage source of 30\,\math…

CIR:9909004A single loop contains, in series, an independent DC voltage source of 18\,\mathrm{V}, a resistor R=6.0\,\Omega, an…

CIR:9909005An independent DC voltage source of 40\,\mathrm{V} is connected from the reference node 0 to node a with its positi…

CIR:9909006An independent DC current source of 120\,\mathrm{mA} injects current into node x from the reference node 0.

CIR:9909007An independent DC voltage source of 36\,\mathrm{V} has its negative terminal at the reference node 0.

CIR:9909008For t>0 the following two-terminal network is connected between nodes x (positive) and y (reference): a resistor R_…

CIR:9909009For t>0 an inductor L=16\,\mathrm{mH} is connected between node p and the reference node 0, with inductor current i…

CIR:9909010A capacitor C=20\,\mu\mathrm{F} is charged so that v_C(0^-)=50\,\mathrm{V}.

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CIR:9909001A capacitor C=8.0\,\mu\mathrm{F} is connected between nodes p and n, with capacitor voltage v_C=v_{pn} polarised po…

CIR:9909002An inductor L=40\,\mathrm{mH} is connected between nodes a and b, with inductor current i_L directed from a to b th…

CIR:9909003A single loop contains, in clockwise order from the reference node 0: an independent DC voltage source of 30\,\math…

CIR:9909004A single loop contains, in series, an independent DC voltage source of 18\,\mathrm{V}, a resistor R=6.0\,\Omega, an…

CIR:9909005An independent DC voltage source of 40\,\mathrm{V} is connected from the reference node 0 to node a with its positi…

CIR:9909006An independent DC current source of 120\,\mathrm{mA} injects current into node x from the reference node 0.

CIR:9909007An independent DC voltage source of 36\,\mathrm{V} has its negative terminal at the reference node 0.

CIR:9909008For t>0 the following two-terminal network is connected between nodes x (positive) and y (reference): a resistor R_…

CIR:9909009For t>0 an inductor L=16\,\mathrm{mH} is connected between node p and the reference node 0, with inductor current i…

CIR:9909010A capacitor C=20\,\mu\mathrm{F} is charged so that v_C(0^-)=50\,\mathrm{V}.