value of the unknown node voltage vl in the circuit of F 17 mple 1. 40 AA 302 50 -8A 25 A Reference node

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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ple 1.5: Determine the value of the unknown node voltage vl in the circuit of Fiz 19
Apply
line in Fig. 1.9,
Mage source togther as a sort of uper
same time; the super node ss indicated by the region snce
woken
40
302
502
-8 A
25 A
Reference node
Fig. 1.9
olution:
It node 1
-3-8 = (V1 – V2)/3+(vi – v3)/4
0.5833v1 -0.3333v2-0.2500v3=-11
At super
node 2-3
25+3 = (v2- V1)/3 + (v3 – v1)/4 + v2/1 + v3/5
-0.5833v1 + 1.3333v2 + 0.45v3 = 28
%3D
121
[3]
Finally,
V3 - V2 22
By solving Eqs. [1] to [3], the solution for vi is 1.071 V.
Example 1.6: Determine the node-t0-reference voltages in the circuit of Fig. 1.10.
20
Transcribed Image Text:ple 1.5: Determine the value of the unknown node voltage vl in the circuit of Fiz 19 Apply line in Fig. 1.9, Mage source togther as a sort of uper same time; the super node ss indicated by the region snce woken 40 302 502 -8 A 25 A Reference node Fig. 1.9 olution: It node 1 -3-8 = (V1 – V2)/3+(vi – v3)/4 0.5833v1 -0.3333v2-0.2500v3=-11 At super node 2-3 25+3 = (v2- V1)/3 + (v3 – v1)/4 + v2/1 + v3/5 -0.5833v1 + 1.3333v2 + 0.45v3 = 28 %3D 121 [3] Finally, V3 - V2 22 By solving Eqs. [1] to [3], the solution for vi is 1.071 V. Example 1.6: Determine the node-t0-reference voltages in the circuit of Fig. 1.10. 20
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