Question

Whenever the alternating current frequency in a series RLC circuit is halved,

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