GATE EE 2016 Set 2 — Question 34
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Electric Circuits → Network Solution Methods → KCL & KVL
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Question
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
Correct answer
(D) 4 and 3
Solution
For a network graph with branches and nodes:
1.The number of independent KCL equations (node equations) is given by . Here, , so .
2.The number of independent KVL equations (mesh or fundamental loop equations) is given by . Here, and , so .
Therefore, the number of independent KCL and KVL equations are 4 and 3, respectively.Continue learning with Success Tracker
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