where G₁1=[ a = G22 b= " and G33 = C =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Problem 03.069 - Nodal analysis with matrix
In the circuit given below, = 115 mA and /2 = 50 mA. Write the node-voltage equations by inspection.
4₂0
where
G₁1 =
a =
VI
10 kQ2
ww
5 ΚΩ
20 ΚΩ
ww
G22
b=
V2
12
5 ΚΩ
The node-voltage equations in matrix form is given by
V1
G11 -0.1 -0.05
-0.1 G22 -0.2
-0.05 -0.2
10-6
=
G33
V3
10 ΚΩ
a
C
V3
G33
and C=
40 mA
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