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Lecture 14:More on Sinusoidal Steady-State AnalysisNilsson & Riedel 9.3-9.6

ENG17 (Sec. 2): Circuits I

Spring 2014

May 15, 2014

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Overview

• Phasors• Passive Circuit

Elements• Kirchoff’s Laws• Series / Parallel

Simplifications

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Phasors

• Defined: complex number that carries the amplitude and phase angle information as a sinusoidal function.

• Euler’s Identity

𝑒± 𝑗𝜃=cos𝜃± 𝑗 sin 𝜃

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Overview

• Phasors• Passive Circuit

Elements• Kirchoff’s Laws• Series / Parallel

Simplifications

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V-I Relationship for Resistor

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V-I Relationship for Inductor

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V-I Relationship for Capacitor

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Impedance and Reactance

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Overview

• Phasors• Passive Circuit

Elements• Kirchoff’s Laws• Series / Parallel

Simplifications

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KVL & KCL

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Overview

• Phasors• Passive Circuit

Elements• Kirchoff’s Laws• Series / Parallel

Simplifications

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Impedances in Series

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Impedances in Parallel

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Delta-to-Wye

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Overview

• Phasors• Passive Circuit

Elements• Kirchoff’s Laws• Series / Parallel

Simplifications