The method of analysis of multi-loop, multi-node circuits, using element relations along with
KCL and KVL equations, is illustrated through worked examples in this section.
Find the voltage across the dependent current source (v
y
) in the circuit in Fig. 2.6-1.
SOLUTION
This circuit has six elements, three nodes and three meshes. We need to find out only v
y
.
Let us try to solve the circuit in terms of v
x
and v
y
without using any other new variables.
We note that v
AD
v
CD
v
AC
(10v
x
) V.
v
AB
v
AD
v
BD
(10 v
x
) v
y
V.
v
BC
v
BD
v
CD
(v
y
10) V.
v
CA
v
x
V.
Note ...
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