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Determine the resonant frequency (kHz) for the circuit shown below.

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Determine the resonant frequency (kHz) for the circuit shown below.

(a) 2.25

(b) 22.5

(c) 225

(d) 2250

I got this question in an online interview.

Question is from Series Resonance topic in portion Resonance & Magnetically Coupled Circuit of Network Theory

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Right option is (a) 2.25

For explanation: The expression of resonant frequency is resonant frequency fr = 1/(2π√LC). Given L = 0.5mH and C = 10uF. On substituting in the equation we get resonant frequency fr = 1/(2π√(10×10^-6)×0.5×10^-3)) = 2.25kHz.

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