# Solved Problems-12

Problems-12
For the network shown in the figure, give fundamental cutset matrix and hence find KCL equations.

Solution
The graph and one tree are shown for the network.

The fundamental cutsets are identified as
f-cutset-1: [1, 2]
f-cutset-2: [2, 3, 4]

The fundamental cutset matrix is given as,

The KCL equations in terms of the cutset matrix is given as,
[Q][Yb][QT][Vt] = â€“[Q][IS]

Here,

Thus, the KCL equations are