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RLC Circuits and Resonance - Technical MCQs

Q1:

What is the band pass (F1 – F2) of an RLC filter that resonates at 150 kHz and has a coil Q of 30?

A 100.0 kHz to 155.0 kHz

B 147.5 kHz to 152.5 kHz

C 295.5 kHz to 4500 kHz

D 149,970 Hz to 150,030 Hz

ANS:A - 100.0 kHz to 155.0 kHz

Here: band pass (F1 " F2) = is nothing but, Bandwidth (B.W).

Given:
fr = 150 kHz; Q = 30; B.W =?
BANDWIDTH (B.W) = (Resonant freq.)/(Quality Factor) B.W = f_r/Q.

B.W = fr/Q.
(f2 - f1) = (150 * 10^3 )/30.
(f2 - f1) = 5 * 10^3 = 5 kHz.

F1 = (fr- f1) = (150 - 2.5) * 10^3 = 147.5 kHz.
F2 = (fr- f2) = (150+2.5) * 10^3 = 152.5 kHz.