Lecture 14: More on Sinusoidal Steady-State Analysis Nilsson & Riedel 9.3-9.6 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 15, 2014.

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Lecture 14: More on Sinusoidal Steady-State Analysis Nilsson & Riedel ENG17 (Sec. 2): Circuits I Spring May 15, 2014

Overview Phasors Passive Circuit Elements Kirchoff’s Laws Series / Parallel Simplifications 2

Phasors Defined: complex number that carries the amplitude and phase angle information as a sinusoidal function. Euler’s Identity 3

Overview Phasors Passive Circuit Elements Kirchoff’s Laws Series / Parallel Simplifications 4

V-I Relationship for Resistor 5

V-I Relationship for Inductor 6

V-I Relationship for Capacitor 7

Impedance and Reactance 8

Overview Phasors Passive Circuit Elements Kirchoff’s Laws Series / Parallel Simplifications 9

KVL & KCL 10

Overview Phasors Passive Circuit Elements Kirchoff’s Laws Series / Parallel Simplifications 11

Impedances in Series 12

Impedances in Parallel 13

Delta-to-Wye 14

Overview Phasors Passive Circuit Elements Kirchoff’s Laws Series / Parallel Simplifications 15