Unformatted text preview: Fig. 3.2, shown again in Fig. 3.26(a) for convenience. The circuit has
two nonreference nodes and the node equations were derived in Section
3.2 as
G1 + G2
−G2 −G2
G2 + G 3 v1
I − I2
=1
v2
I2 I2 v2 (3.21) Observe that each of the diagonal terms is the sum of the conductances
connected directly to node 1 or 2, while the offdiagonal terms are the
negatives of the conductances connected between the nodes. Also, each
term on the righthand side of Eq. (3.21) is the algebraic sum of the
currents entering the node.
In general, if a circuit with independent current sources has N
nonreference nodes, the nodevoltage equations can be written in terms
of the conductances as v1
i1
G11 G12 . . . G1N G21 G22 . . . G2N v2 i2 (3.22)
.
. . = . .
.
.
. . . .
.
.
.
.
.
.
.
GN 1 GN 2 . . . GN N
vN
iN
or simply I1 (3.23) G1 G3 (a)
R1 V1 +
− R2 R3 i1 i3 + V2
− (b) Figure 3.26 Gv = i G2 v1 (a) The circuit in Fig. 3.2,
(b) the circuit in Fig. 3.17. where
Gkk = Sum of the conductances connected to node k
Gkj =...
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This note was uploaded on 07/16/2012 for the course KA KA 2000 taught by Professor Bkav during the Spring '12 term at Cambridge.
 Spring '12
 bkav

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