For a series RLC resonance circuit, two half power frequencies are 36 kHz and 25 kHz, respectively. Find the resonant frequency.

Question

Question

This question was previously asked in

HPCL Engineer Electrical 01 Nov 2022 Official Paper

Answer 1

The correct answer is option 1):(30 kHz)

Concept:

Half power frequencies

Half-power frequencies are the frequencies at which the current is 12 times of maximum current.

f₀ is the resonant frequency

f₁is the lower half-power frequency

f₂is the higher half-power frequency

The relation between them is,

\({f_0} = \sqrt {{f_1}{f_2}} \)

F2 U.B 23.3.20 Pallavi D4

Calculation:

Given

f₁ = 36 Hz

f₂ = 25 Hz

\({f_0} = \sqrt {{f_1}{f_2}} \)

= 6 × 5

= 30 kHz