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Introductory Electrical Engineering With Math Explained in Accessible Language
book

Introductory Electrical Engineering With Math Explained in Accessible Language

by Magno Urbano
December 2019
Beginner
608 pages
11h 41m
English
Wiley
Content preview from Introductory Electrical Engineering With Math Explained in Accessible Language

20Nodal Analysis: Circuit Analysis

20.1 Introduction

In this chapter, we will examine a technique of circuit analysis called voltage node analysis or simply nodal analysis.

This technique can be used to find currents and voltages across a circuit by using a zero reference and a peculiar way to use Ohm's law.

20.2 Examples

20.2.1 Example 1

Consider the circuit shown in Figure 20.1, composed of several voltage sources and resistors. We want to find the voltage between points A and B and the several branch currents.

A circuit consists of a voltage sources labeled V1 (80 V) and V2 (20 V), resistors labeled R1 (100), R2 (200), and R3 (50), arrows labeled i1, i2, and i3, nodes labeled A and B, etc.

Figure 20.1 Nodal analysis.

20.2.1.1 Solution

First thing to do, according to the nodal analysis, is to choose a point to be the circuit's zero reference, that is, the ground point. We select point B and redraw the circuit to include a ground point, as shown in Figure 20.2.

A circuit consists of a voltage sources labeled V1 (80 V) and V2 (20 V), resistors labeled R1 (100), R2 (200), and R3 (50), arrows labeled i1, i2, and i3, nodes labeled A and B, etc.

Figure 20.2 Ground reference.

Now that we have a ground point, we can say that the voltages across points C and ground and across D and ground are equal to V1 and V2, or 80 and 20 V, respectively.

However, the voltage across A, which is between A and ground, is not immediately obvious. To find this voltage we must analyze the ...

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