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Unit - 1 Class Test

The document outlines a class test for Unit 3, including definitions of oriented and planar graphs, properties of trees, and calculations involving loops, nodes, and branches. It also includes tasks related to drawing graphs from an incidence matrix, finding possible trees, and analyzing circuits using tie-set and cut-set methods. Additionally, it requires drawing graphs and dual networks for given circuits.

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purushotham1982
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37 views1 page

Unit - 1 Class Test

The document outlines a class test for Unit 3, including definitions of oriented and planar graphs, properties of trees, and calculations involving loops, nodes, and branches. It also includes tasks related to drawing graphs from an incidence matrix, finding possible trees, and analyzing circuits using tie-set and cut-set methods. Additionally, it requires drawing graphs and dual networks for given circuits.

Uploaded by

purushotham1982
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Unit – 3 Class Test

1. Define oriented graph and planar graph.


2. State the properties of trees.
3. If the number of loops is 3 and number of nodes is 4, find the number of branches.
4. Draw the graph if the reduced incidence matrix is as below. Draw the graph.

[ ]
1 0 −1 0 1 0
0 0 0 −1 0 0
−1 1 1 0 −1 −1
5. Find the number of possible trees of the above matrix.
6. For the following circuit,
a. Find the loop currents using tie-set
b. Find the node voltages using cut-set

7. For the following circuit,


a. Draw the graph and write the incidence matrix
b. Draw the dual network

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