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For a series RLC circuit, excited by voltage V = 20 sinωt. The values of R = 2 Ω, L = 1mH and C = 0.4 µF. The resonant frequency of the circuit is ______________(a) 20 krad/s(b) 30 krad/s(c) 40 krad/s(d) 50 krad/sThis question was posed to me in an international level competition.This intriguing question comes from Advanced Problems on Resonance in division Resonance & Magnetically Coupled Circuit of Network Theory |
Answer» RIGHT answer is (d) 50 krad/s To explain: We know that the resonant frequency w0 = 1/(LC)^0.5 Given R = 2 Ω, L = 1mH and C = 0.4 µF. So, w0 = \(\frac{1}{\sqrt{10^{-3}×0.4×10^{-6}}}\) Or, w0 = 50 krad/s. |
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