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In an LCR circuit, the resonant frequency is 600 Hz and half-power points are at 650 Hz and 550 Hz . The quality factor is

Correct answer

6

Step-by-step solution

In LCR series, resonant frequency, f r = 600   Hz ∴ ω r = 2 π × 600   Hz Frequencies at half power are given as, f 1 = 550   Hz and f 2 = 650   Hz ω 1 = 2 π × 550   Hz and ω 2 = 2 π × 650   Hz Quality factor, Q = ω r ω 2 - ω 1 = 2 π × 600 2 π × 650 - 2 π × 550 = 2 π × 600 2 π × 100 = 6

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