If we need the currents, we can easily cal= 3.333Ai = 5 A, iz = 1-2 = -1.6667 A, iz =6. 666A, i4 = 10 A, iz =2 =%3D%3DThe foct that ia is negative shows that the current flows in the direction opposite to the oneassumed.Practice problem 3.1: Find the voltages at the three nonreference nodes in the circuit ofFigure below.Answer: V1 = 80 V, v2 =-64 V, v3 = 156 V.41,2110 AI33. NODAL ANALYSIS WITH VOLTAGE SOURCESW w. consider how voltage sources affect nodal analysis, We use the3.4 for illustration. Consider the following two possibilities.van n Fig.CASE 1: If a voltage source is connected between the reference node and a nonreferencenode, we simply set the voltage at the nonreference node equal to the voltage of the voltagesource. In Fig. 3.4, for example,V1 = 10 V(3.10)Thus our analysis is somewhat simplified by this knowledge of the voltage at this node.ạl engmeSupernode10 VBiomFigure 3.4 A circuit with a supernode.CASE 2: If the voltage source (dependent or independent) is connected between twononreference nodes, the two nonreference nodes form a generalized node or supernode; weapply both KCL and KVL to determine the node voltages.A supernode is formed by enclosing a (dependent or independent) voltage source connectedbetween two nonreference nodes and any elements connected in parallel with it.ww.

Answered: Practice problem 3.1: Find the voltages…

Practice problem 3.1: Find the voltages at the three nonreference nodes in the circult Figure below. 41 Answer: Vi = 80 V, v2 =-64 V, v3 = 156 V. 1 し -> 10 A 40 I3 1 ww

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Concept explainers

Nodal Analysis

In the analysis of any electric circuit, nodal analysis is the method of determining the potential difference or voltage between different nodes in an electric circuit. A node is a point where two or more branches connect each other. In the nodal analysis, the voltages are determined in the terms of branch currents. The nodal analysis is also known as the node voltage method or branch current method. The nodal analysis method is one of the several applications of Kirchhoff's Current Law (KCL).

Question

If we need the currents, we can easily cal
= 3.333A
i = 5 A, iz = 1-2 = -1.6667 A, iz =
6. 666A, i4 = 10 A, iz =2 =
%3D
%3D
The foct that ia is negative shows that the current flows in the direction opposite to the one
assumed.
Practice problem 3.1: Find the voltages at the three nonreference nodes in the circuit of
Figure below.
Answer: V1 = 80 V, v2 =-64 V, v3 = 156 V.
41,
2
1
10 A
I3
3. NODAL ANALYSIS WITH VOLTAGE SOURCES
W w. consider how voltage sources affect nodal analysis, We use the
3.4 for illustration. Consider the following two possibilities.
van n Fig.
CASE 1: If a voltage source is connected between the reference node and a nonreference
node, we simply set the voltage at the nonreference node equal to the voltage of the voltage
source. In Fig. 3.4, for example,
V1 = 10 V
(3.10)
Thus our analysis is somewhat simplified by this knowledge of the voltage at this node.
ạl engme
Supernode
10 V
Biom
Figure 3.4 A circuit with a supernode.
CASE 2: If the voltage source (dependent or independent) is connected between two
nonreference nodes, the two nonreference nodes form a generalized node or supernode; we
apply both KCL and KVL to determine the node voltages.
A supernode is formed by enclosing a (dependent or independent) voltage source connected
between two nonreference nodes and any elements connected in parallel with it.
ww.

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