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
Use superposition; the two sources have different frequencies.1. Voltage source alone (current source open-circuited, so the 1 H branch carries no current): rad/s, .The capacitor is in series with the resistor across the source:2. Current source alone (voltage source short-circuited): rad/s, .The source current flows through the 1 H inductor (series element, does not change the current) into :Thus and . Option (A) (2.0 and 1.98) is the only one with both amplitudes near 2; all other options have .Answer: (A)
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