1 / 3ECE111 Do it yourself study guideInstructions: Starting at least a week before the final exam, use your class lecture notes, the textbook, andother sources to fill in the essential relationships for each topic & sub-topic, including basic principles,methods, equations, and simple drawings. Perform this exercise yourself, then compare to a classmate’sresult to see if either of you has something useful to share. Feel free to make an appointment to see theinstructor about this exercise.LINEAR CIRCUIT ELEMENTSResistors, including resistance (R) & conductance (G)Sources, incl. voltage & current sourcesindependentdependentAnalytic & graphic representation of v-i characteristicsgraphic solutionsbasic types of circuit connections (expressed in terms of both R & G)seriesparallelThevenin & Norton equivalentsopen-circuit voltageshort-circuit currentequivalent resistancePRECISION OF NUMBERSSignificant digitsWorst-case analysisSensitivity analysisCKT ELEMENTS WITH DIFFERENTIAL/INTEGRAL v-i CHARACTERISTICSCapacitorsDifferential & integral equation modelsEnergy storageInductorsDifferential & integral equation modelsEnergy storageBASIC PRINCIPLESDefinition of powerKirchhoff’s voltage law (KVL)loop equations2 / 3loop currents & analysisKirchhoff’s current law (KCL)node equationsnodal voltages & analysislinearitysuperpositioncircuits with multiple sourceshow to turn off a voltage sourcehow to turn off a current sourcewhat to do about dependent sourcesTRANSIENT ANALYSISFirst-order circuitsequation form & natural responset = RC time constantt = L/R time constantsolution methodology: x(0-), x(0+), x(∞)second-order circuitsequation form & natural responseresonant & and natural frequenciesdissipation factor: parallel & series RLC cktsbehavior of energy storage elements at t = 0+ & t = •capacitive voltageinductive currentmethodologies for solving transient problemsCOMPLEX NUMBERS & ARITHMETICEuler’s relationRepresentations of complex numbersRectangular (including vectors in complex plane)PolarexponentialAC SINUSOIDAL STEADY-STATEsinusoidal steady-state conditions (no transients)PhasorsDefinition in terms of cosine function3 / 3amplitude & phasetime domain vs frequency domainimpedance & admittanceseries: resistance & reactanceparallel: conductance & susceptancegeneralized ckt analysis for phasorsseries & parallel impedance, admittanceKVL & KCLThevenin equivalentsnodal & loop analysisAC sources at multiple frequencies: proper use of