Sinusoidal steady-state analysis
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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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Sinusoidal steady-state analysis

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Sinusoidal steady state analysis

Sinusoidal steady-state analysis


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.


Sinusoidal steady state analysis

3.2. Nodal Analysis

Find in thecircuit of Fig. usingnodalanalysis.

Solution:


Sinusoidal steady state analysis

3.2. Nodal Analysis


Sinusoidal steady state analysis

3.2. Nodal Analysis


Sinusoidal steady state analysis

3.2. Nodal Analysis

Fromnode 1

Fromnode 2


Sinusoidal steady state analysis

3.2. Nodal Analysis


Sinusoidal steady state analysis

3.2. Nodal Analysis


Sinusoidal steady state analysis

Example 3.2

Compute and in thecircuit of Fig.

Solution:

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


Sinusoidal steady state analysis

Example 3.2

Voltagesourceconnectedbetweennodes 1 and 2;


Sinusoidal steady state analysis

3.3. Mesh Analysis

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

Applying KVL to mesh 1, weobtain


Sinusoidal steady state analysis

3.3. Mesh Analysis


Sinusoidal steady state analysis

3.3. Mesh Analysis


Sinusoidal steady state analysis

3.3. Mesh Analysis


Sinusoidal steady state analysis

Example 3.4

Solve for in thecircuit in fig, using mesh analysis.

As shownfig, meshes 3 and 4 form a supermeshduetothecurrentsourcebetweenthemeshes.


Sinusoidal steady state analysis

Example 3.4

For mesh 1

For mesh 2


Sinusoidal steady state analysis

Example 3.4


Sinusoidal steady state analysis

Example 3.4


Sinusoidal steady state analysis

Example 3.4


Sinusoidal steady state analysis

Example 3.5


Sinusoidal steady state analysis

Example 3.5


Sinusoidal steady state analysis

Example 3.5


Sinusoidal steady state analysis

Example 3.5


Sinusoidal steady state analysis

Example 3.6


Sinusoidal steady state analysis

Example 3.6


Sinusoidal steady state analysis

Example 3.6


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