GATE EC 2020 Set 1 — Question 38
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Network Theory → Transient & AC Analysis → Phasors & Complex Power
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Question
The current in the given network is
Correct answer
(C) 2.38143.63^ A.
Solution
Let the common node of the two voltage sources be the reference (ground). The voltage at the top node is V. The voltage at the bottom node is V. The middle branch connects the reference node to the node between the two impedances . Since it's a short, the voltage at the node between the impedances is also 0 V. The current flowing from the reference node to the impedance node is the sum of the currents coming from the impedances: .
V.
.
A.
V.
.
A.
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