# GATE Questions & Answers of Network Graph

## What is the Weightage of Network Graph in GATE Exam?

Total 6 Questions have been asked from Network Graph topic of Electric Circuits subject in previous GATE papers. Average marks 1.50.

The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph is

The graph associated with an electrical network has 7 branches and 5 nodes. The number of independent KCL equations and the number of independent KVL equations, respectively, are

The three circuit elements shown in the figure are part of an electric circuit. The total power absorbed by the three circuit elements in watts is __________.

In the figure, the value of resistor R is (25 + I/2) ohms, where I is the current in amperes. The current I is ______

The number of chords in the graph of the given circuit will be

The matrix A given below in the node incidence matrix of a network. The columns correspond to branches of the network while the rows correspond to nodes. Let V=[v1 v2 ... v6]T denote the vector of branch voltages while I=[i1 i2 ... i6]T that of branch currents. The vector E=[e1 e2 e3 e4]T denotes the vector of node voltages relative to a common ground.

$A=\left[\begin{array}{cccccc}1& 1& 1& 0& 0& 0\\ 0& -1& 0& -1& 1& 0\\ -1& 0& 0& 0& -1& -1\\ 0& 0& -1& 1& 0& 1\end{array}\right]$

Which of the following statement is true?