1EE2315Lecture8‐ IntroductiontoPhasorsTheSinusoidalFunction1.05 0 1.05 2.09 3.14 4.19 5.24 6.281.20.80.400.40.81.2ft()2SinusoidtoPhasorExponential form:Separate exponents:Phasor transform:Also:V~ImReImpedanceofanInductor() Rejtjmdivt L LI j e edtL+ v -ijL+ V -~I~3PhasorDiagramofInductorV‐IRelationshipVoltage leads current by 90°I~V~90oImReImpedanceofaCapacitor() Rejtjmdvit C CV j e edtC+ v -ijCI~~+ V -4PhasorDiagramofCapacitorV‐IRelationshipCurrent leads Voltage by 90°I~V~90oImRePhasorR‐LExample(1/3)VsRjL~+ VR -~+ VL -~I~5PhasorR‐LExample(2/3)KVL now in complex plane.PhasorR‐LExample(3/3)VsRjL~+ VR -~+ VL
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