Whenever the alternating current frequency in a series RLC circuit is halved, a. the inductive reactance is doubled and the capacitiv

Question

Whenever the alternating current frequency in a series RLC circuit is halved,
a. the inductive reactance is doubled and the capacitive reactance is halved.
b. the inductive reactance is doubled and the capacitive reactance is doubled.
c. the inductive reactance is halved and the capacitive reactance is halved.
d. the inductive reactance is halved and the capacitive reactance is doubled.
e. the reactance of the circuit remains the same.

in progress 0
Yến Oanh 4 years 2021-08-12T15:59:56+00:00 1 Answers 186 views -1

Answers ( )

  1. vankhanh
    0
    2021-08-12T16:00:59+00:00
    Reply

    Answer:

    The correct option is

    a. The inductive reactance is doubled and the capacitive reactance is halved

    Explanation:

    For a series RLC circuit, is a resonant circuit such that the impedance, Z, is minimum at the resonance frequency

    Also we have that the capacitive reactance X_C, is given as follows;

    X_c = \dfrac{1}{\omega \cdot C}

    Where;

    ω = Angular frequency = 2πf

    Where;

    f = The frequency in the circuit

    \therefore X_c = \dfrac{1}{2 \cdot \pi \cdot f \cdot C}

    The inductive reactance is also given as follows;

    X_L = \omega \cdot L = 2 \cdot \pi \cdot f \cdot L

    Therefore, when the circuit frequency doubles, the inductive reactance doubles and the capacitive reactance halves

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )