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A 50 μF capacitor, when connected in series with a coil having resistance of 40Ω, resonates at 1000 Hz. The circuit current if the applied voltage is 100 V for the resonant circuit is ___________ (a) 2.5 A (b) 3.5 A (c) 4.5 A (d) 0.5 A The question was posed to me during an interview. This key question is from Advanced Problems on Resonance topic in section Resonance & Magnetically Coupled Circuit of Network Theory Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

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Right answer is (a) 2.5 A Easiest explanation: We know that the magnitude of current |I| for a resonating circuit is given by, | I | = \frac{V}{Z} = \frac{V}{R} Given that, R = 40Ω and V = 100 V ∴ | I | = \frac{100}{40} = 2.5 A.

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