(a) For what frequencies does a 23.0-μF capacitor have a reactance below 160 Ω? f Correct: Your answer is correct. 6.95 Incorrect: Your answ

Question

(a) For what frequencies does a 23.0-μF capacitor have a reactance below 160 Ω? f Correct: Your answer is correct. 6.95 Incorrect: Your answer is incorrect. Hz (b)What is the reactance of a 41.0-μF capacitor over this same frequency range? Xc Correct: Your answer is correct. Ω

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Khoii Minh 4 years 2021-07-31T10:10:04+00:00 1 Answers 22 views 0

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  1. Nem
    0
    2021-07-31T10:12:02+00:00
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    Answer:

    (a) So range of frequency f > 43.27 Hz

    (b) the reactance is 89.75 Ω

    Explanation:

    Given:

    (a)

    Capacitance of a capacitor C= 23 \times 10^{-6} F

    Reactance of capacitive circuit X_{C} = 160 Ω

    From the formula of reactance,

    X_{C} = \frac{1}{\omega C}

    X_{C} = \frac{1}{2\pi fC}

       f = \frac{1}{2\pi X_{C} C }

       f = \frac{1}{6.28 \times 160 \times 23 \times 10^{-6} }

       f = 43.27 Hz

    So range of frequency f > 43.27 Hz

    (b)

    Capacitance C = 41 \times 10^{-6} F

    Frequency f = 43.27 Hz

    From the formula of reactance,

    X_{C} = \frac{1}{2\pi fC}

    X_{C} = \frac{1}{6.28 \times 43.27 \times 41 \times 10^{-6} }

    X_{C} = 89.75 Ω

    Therefore, the reactance is 89.75 Ω

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