Page 392 - Basic Electrical Engineering

a. resonant frequency;
b. Q-factor of the circuit at resonance;
c. half-power frequencies and bandwidth.

Solution:

(a) We know that the condition for the series resonance is

X = X C
L

i.e.,

or,

Substituting values

(b)

Substituting values

(c) Half-power frequencies are the frequencies corresponding to current
which is 0.707 of the resonant current. They are f and f , i.e., the lower, and
2
1
upper frequencies forming the bandwidth.