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Q.

An RLC circuit includes a 1.6 H inductor and a 250 μF  capacitor rated at 400V.The circuit connected across a sine-wave generator whose peak voltage is 32 V. What minimum resistance must the circuit have to ensure that the capacitor voltage does not exceed its rated value when the generator is at the resonant frequency? Then find value of  10R

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answer is 8.

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Detailed Solution

i=V0Z=V0R ω=1LC=11.6×250×106 VC=i0×i0×1ωC=V0ωCR      1034×5=50 400=3250×250×106×R R=32×10650×250×400=6.4Ω

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