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Determine the resonant frequency for the specifications: R = 10Ω, L = 0.1H, C = 10µF.

(a) 157

(b) 158

(c) 159

(d) 160

I have been asked this question in semester exam.

This interesting question is from Bandwidth of an RLC Circuit in section Resonance & Magnetically Coupled Circuit of Network Theory

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Correct option is (c) 159

The best explanation: The frequency at which the resonance occurs is called resonant frequency. The expression of the resonant frequency is given by fr = 1/(2π√LC). On substituting the given values we get resonant frequency = 1/(2π√(0.1×10×10^-6))=159.2 Hz.

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