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Circuit analysis

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Ideal circuit elementsIdeal sourcesIdeal elements and sourcesReal-world circuit elementsCircuit terminologyCircuit terminologySign convention for passive componentsSign convention for passive components and sources
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Series resistorsSeries resistorsParallel resistors (part 1)Parallel resistors (part 2)Parallel resistors (part 3)Parallel resistorsParallel conductanceSimplifying resistor networksSimplifying resistor networksDelta-Wye resistor networksVoltage dividerVoltage dividerAnalyzing a resistor circuit with two batteries
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Circuit analysis overviewKirchhoff's current lawKirchhoff's voltage lawKirchhoff's lawsLabeling voltagesApplication of the fundamental laws (setup)Application of the fundamental laws (solve)Application of the fundamental lawsNode voltage method (steps 1 to 4)Node voltage method (step 5)Node voltage methodMesh current method (steps 1 to 3)Mesh current method (step 4)Mesh current methodLoop current methodNumber of required equationsLinearitySuperposition
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Capacitor i-v equationsA capacitor integrates currentCapacitor i-v equation in actionInductor equationsInductor kickback (1 of 2)Inductor kickback (2 of 2)Inductor i-v equation in actionRC natural response - intuitionRC natural response - derivationRC natural response - exampleRC natural responseRC step response - intuitionRC step response setup (1 of 3)RC step response solve (2 of 3)RC step response example (3 of 3)RC step responseRL natural responseSketching exponentialsSketching exponentials - examplesLC natural response intuition 1LC natural response intuition 2LC natural response derivation 1LC natural response derivation 2LC natural response derivation 3LC natural response derivation 4LC natural response exampleLC natural responseLC natural response - derivationRLC natural response - intuitionRLC natural response - derivationRLC natural response - variations
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AC analysis intro 1AC analysis intro 2Trigonometry reviewSine and cosine come from circlesSine of timeSine and cosine from rotating vectorLead LagComplex numbersMultiplying by j is rotationComplex rotationEuler's formulaComplex exponential magnitudeComplex exponentials spinEuler's sine waveEuler's cosine waveNegative frequencyAC analysis superpositionImpedanceImpedance vs frequencyELI the ICE manImpedance of simple networksKVL in the frequency domain

About this unit

Circuit analysis is the process of finding all the currents and voltages in a network of connected components. We look at the basic elements used to build circuits, and find out what happens when elements are connected together into a circuit.