Find the resonant frequency for a series RLC circuit where R = 10, C = 5.00 F, and L = 2.00 mH.

Question

Find the resonant frequency for a series RLC circuit where R = 10, C = 5.00 F, and L = 2.00 mH.

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Hưng Khoa 5 years 2021-08-29T04:57:10+00:00 1 Answers 28 views 0

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  1. thuhuong
    0
    2021-08-29T04:58:40+00:00
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    Answer:

    The resonating frequency of the given RLC circuit is found to be 1.59 KHz

    Explanation:

    The resonating frequency in a series RLC circuit is the one at which the Inductive Reactance and the Capacitive Reactance of the circuit becomes equal. And the circuit becomes purely resistive. The resonating frequency of a series RLC circuit is given by the following formula:

    fr = 1/2π√(LC)

    where,

    fr = Resonating Frequency = ?

    L = Inductance = 2 mH = 2 x 10⁻³ H

    C = Capacitance = 5 μF = 5 x 10⁻⁶ F

    Therefore,

    fr = 1/2π√[(2 x 10⁻³ H)(5 x 10⁻⁶ F)]

    fr = 1591.5 Hz = 1.59 KHz

    The resonating frequency of the given RLC circuit is found to be 1.59 KHz

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