GATE EE 2014 Set 3 — Question 42
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Electric Circuits → Transient & AC Steady-State → Series & Parallel Resonance
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Question
A series circuit is observed at two frequencies. At , we note that source voltage results in a current . At , the source voltage results in a current . The closest values for out of the following options are
Correct answer
(B) R = 50 Ω; L = 10 mH; C = 25 μF;
Solution
At krad/s: A is in phase with V, so the circuit is at resonance and its impedance is purely resistive:At krad/s: the current leads the voltage by , so the circuit is capacitive andUsing : . HenceCheck of the options: all four options have , so the phase at decides. Net reactance at 1 krad/s: (A) (), (B) (), (C) (), (D) (). Only (B) gives a leading current.Answer: (B) , mH, F
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