For a particular RLC series circuit, the capacitive reactance is 7.95 Ω , 7.95 Ω, the inductive reactance is 47.7 Ω , 47.7 Ω, and the maximu

Question

For a particular RLC series circuit, the capacitive reactance is 7.95 Ω , 7.95 Ω, the inductive reactance is 47.7 Ω , 47.7 Ω, and the maximum voltage across the 69.5 Ω 69.5 Ω resistor is 28.5 V . 28.5 V. What is the maximum voltage across the circuit?

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Orla Orla 4 years 2021-09-05T08:51:29+00:00 1 Answers 15 views 0

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  1. minhkhang
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    2021-09-05T08:53:21+00:00
    Reply

    Answer:

    51.3165 V

    Explanation:

    The maximum voltage across the circuit is given as,

    V’ = IXc + IXl + Vr ……………… Equation 1

    Where V’ = The maximum voltage across the circuit, I = current, Xc = capacitive reactance, Xl = inductive reactance, Vr = voltage cross the resistor.

    From Ohm’s Law,

    V = IR……….. Equation 2

    I = V/R……….. Equation 3

    Given: V = 28.5 V, R = 69.5 Ω

    Substitute into equation 3

    I = 28.5/69.5

    I = 0.41 A.

    Also Given: Xc = 7.95 Ω, Xi = 47.7 Ω, Vr = 28.5 V.

    Substitute into equation 1

    V’ = 7.95(0.41) + 47.7(0.41) + 28.5

    V’ = 3.2595+19.557+28.5

    V’ = 51.3165 V

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