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1 Alexander - Sadiku Fundamentals of Electric Circuits Chapter 10 Sinusoidal Steady - State Analysis
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Alexander-Sadiku · Sinusoidal Steady-State Analysis Chapter 10 Outline of lecture 10.1 Basic Approach 10.2 Nodal Analysis 10.3 Mesh Analysis. 3 Sinusoidal Steady-State Analysis Chapter

Mar 20, 2020

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Page 1: Alexander-Sadiku · Sinusoidal Steady-State Analysis Chapter 10 Outline of lecture 10.1 Basic Approach 10.2 Nodal Analysis 10.3 Mesh Analysis. 3 Sinusoidal Steady-State Analysis Chapter

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Alexander-Sadiku Fundamentals of Electric Circuits

Chapter 10

Sinusoidal Steady-State Analysis

Page 2: Alexander-Sadiku · Sinusoidal Steady-State Analysis Chapter 10 Outline of lecture 10.1 Basic Approach 10.2 Nodal Analysis 10.3 Mesh Analysis. 3 Sinusoidal Steady-State Analysis Chapter

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Sinusoidal Steady-State Analysis Chapter 10

Outline of lecture

10.1 Basic Approach

10.2 Nodal Analysis

10.3 Mesh Analysis

Page 3: Alexander-Sadiku · Sinusoidal Steady-State Analysis Chapter 10 Outline of lecture 10.1 Basic Approach 10.2 Nodal Analysis 10.3 Mesh Analysis. 3 Sinusoidal Steady-State Analysis Chapter

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Sinusoidal Steady-State Analysis Chapter 10

OBJECTIVES AND INTENDED

OUTCOMESBy the end of this lesson the learner is

expected to :

1. Understand the steps to analyze AC circuits .

2. To obtain skills for analyze AC circuits by using Nodal and Mesh

Currents

Page 4: Alexander-Sadiku · Sinusoidal Steady-State Analysis Chapter 10 Outline of lecture 10.1 Basic Approach 10.2 Nodal Analysis 10.3 Mesh Analysis. 3 Sinusoidal Steady-State Analysis Chapter

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Steps to Analyze AC Circuits:

1. Transform the circuit to the phasor or frequency domain.

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

3. Transform the resulting phasor to the time domain.

Time to Freq Solve

variables in Freq

Freq to Time

10.1 Basic Approach (1)

Page 5: Alexander-Sadiku · Sinusoidal Steady-State Analysis Chapter 10 Outline of lecture 10.1 Basic Approach 10.2 Nodal Analysis 10.3 Mesh Analysis. 3 Sinusoidal Steady-State Analysis Chapter

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10.2 Nodal Analysis (1)

Page 6: Alexander-Sadiku · Sinusoidal Steady-State Analysis Chapter 10 Outline of lecture 10.1 Basic Approach 10.2 Nodal Analysis 10.3 Mesh Analysis. 3 Sinusoidal Steady-State Analysis Chapter

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10.2 Nodal Analysis (1)

Page 7: Alexander-Sadiku · Sinusoidal Steady-State Analysis Chapter 10 Outline of lecture 10.1 Basic Approach 10.2 Nodal Analysis 10.3 Mesh Analysis. 3 Sinusoidal Steady-State Analysis Chapter

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10.2 Nodal Analysis (1)

Page 8: Alexander-Sadiku · Sinusoidal Steady-State Analysis Chapter 10 Outline of lecture 10.1 Basic Approach 10.2 Nodal Analysis 10.3 Mesh Analysis. 3 Sinusoidal Steady-State Analysis Chapter

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10.2 Nodal Analysis (1)

Page 9: Alexander-Sadiku · Sinusoidal Steady-State Analysis Chapter 10 Outline of lecture 10.1 Basic Approach 10.2 Nodal Analysis 10.3 Mesh Analysis. 3 Sinusoidal Steady-State Analysis Chapter

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10.2 Nodal Analysis (1)

Page 10: Alexander-Sadiku · Sinusoidal Steady-State Analysis Chapter 10 Outline of lecture 10.1 Basic Approach 10.2 Nodal Analysis 10.3 Mesh Analysis. 3 Sinusoidal Steady-State Analysis Chapter

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10.2 Nodal Analysis (1)

Example 1

Using nodal analysis, find v1 and v2 in the circuit of figure below.

v1(t) = 11.32 sin(2t + 60.01) V v2(t) = 33.02 sin(2t + 57.12) V

Answer:

Page 11: Alexander-Sadiku · Sinusoidal Steady-State Analysis Chapter 10 Outline of lecture 10.1 Basic Approach 10.2 Nodal Analysis 10.3 Mesh Analysis. 3 Sinusoidal Steady-State Analysis Chapter

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10.3 Mesh Analysis (1)

Example 2

Find Io in the following figure

using mesh analysis.

Answer: Io = 1.19465.44 A