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.

Answer 1

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

Answer 2

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

What is an alternating current frequency?

An Alternating current (ac) frequency is known to be the amount of cycles per second that can be found  in an ac sine wave.

The Frequency is known to be the rate through which the current changes direction in terms of per second. It is said to be often measured in hertz (Hz). Note that the alternating current frequency in a series RLC circuit is halved,  the inductive reactance increases and the capacitive reactance is reduced.

Learn more about  alternating current from

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