GATE EC 2016 Set 2 — Question 41
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Network Theory → Circuit Fundamentals & Theorems → Node & Mesh Analysis
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Question
In the circuit shown in the figure, the magnitude of the current (in amperes) through is ___
Correct answer
4.9 to 5.1
Solution
To find the current through , we use nodal analysis.
1.Identify the nodes: Let the node between , , and the dependent source be . Let the node between and be . The reference node (ground) is at the bottom.
2.KCL at node :
Multiplying by 15:3.KCL at node :
The dependent current source is pointing upwards (entering the node).Multiplying by 15:4.Solve for :
Substitute into the equation:5.Calculate current through :
The current flowing from to is:The magnitude of the current through is 5 A.Continue learning with Success Tracker
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