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For L-C-R A.C. circuit resonance frequency is 600 Hz and frequencies at half power points are 550 Hz and 650 Hz. What will be the Q-factor? choose the correct option from the given options. (A) 1/6 (B) 1/3 (C) 6 (D) 3 |
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Answer» c) 6Explanation:Circuit resonance frequency = w = 600Hz (Given)Frequency = w1 = 500 (Given)Frequency = w2 = 600 Hz (Given)In a L-C-R AC circuit, the HALF power band WIDTH is the DIFFERENCE between two frequencies, namely w2 and w1, that corresponds to the current I( rms, max)/ √2 or equivalently half power in the series resonance curve. The Q factor is the measure of sharpness of resonance curve DEFINED as -Q = WO/(w2-w1), where wo is the resonance frequency.Thus, Q = 600/(650–550)Q = 600/100Q = 6. |
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