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Sinusoidal steady-state analysis

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Sinusoidal steady-state analysis - PowerPoint PPT Presentation


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Sinusoidal steady-state analysis. 3.1. Introduction. Step to analyze AC Circuits: Transform the circuit to the phasor or frequency domain. Solve the problem using circuit techniques (nodal analysis, mesh analysis, superposition, etc. ) Transform the resulting phasor to the time domain.

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3.1. Introduction

Step to analyze AC Circuits:

Transform the circuit to the phasor or frequency domain.

Solve the problem using circuit techniques (nodal analysis, mesh analysis, superposition, etc.)

Transform the resulting phasor to the time domain.

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3.2. Nodal Analysis

Find in thecircuit of Fig. usingnodalanalysis.

Solution:

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3.2. Nodal Analysis

Fromnode 1

Fromnode 2

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Example 3.2

Compute and in thecircuit of Fig.

Solution:

Nodes 1 and 2 form a supernode as shownFig. Applying KCL at thesupernodegives;

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Example 3.2

Voltagesourceconnectedbetweennodes 1 and 2;

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3.3. Mesh Analysis

Determine current in the circuit of fig, using mesh analysis.

Applying KVL to mesh 1, weobtain

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Example 3.4

Solve for in thecircuit in fig, using mesh analysis.

As shownfig, meshes 3 and 4 form a supermeshduetothecurrentsourcebetweenthemeshes.

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Example 3.4

For mesh 1

For mesh 2