GATE EC 2014 Set 3 — 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 value of node voltage is
Correct answer
(D) 2 - j22 V
Solution
Let the node on the left be and the node on the right be . From the circuit, the V source and the resistor are in parallel between Node 1 and Node 2. Therefore, the constraint is:
Applying KCL at the supernode consisting of Node 1 and Node 2:
Substituting :
Multiplying by the conjugate:
V.
Applying KCL at the supernode consisting of Node 1 and Node 2:
Substituting :
Multiplying by the conjugate:
V.
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