GATE EE 2014 Set 2 — Question 40
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Electric Circuits → Network Theorems → Sinusoidal Steady-State
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Question
The voltage across the capacitor, as shown in the figure, is expressed as
The values of and respectively, are
The values of and respectively, are
Correct answer
(A) 2.0 and 1.98
Solution
Using the superposition principle:Case 1: Only voltage source is active.
Here rad/s. The current source is open-circuited. The inductor branch is open.
, .
V.Case 2: Only current source is active.
Here rad/s. The voltage source is short-circuited. and are in parallel.
, .
The current flows through the inductor and then splits between and . The inductor in series with the current source does not affect the current entering the node.
V.The values and are closest to option (A).
Here rad/s. The current source is open-circuited. The inductor branch is open.
, .
V.Case 2: Only current source is active.
Here rad/s. The voltage source is short-circuited. and are in parallel.
, .
The current flows through the inductor and then splits between and . The inductor in series with the current source does not affect the current entering the node.
V.The values and are closest to option (A).
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