Q.

In a series LCR resonant circuit, the quality factor is measured as 100. If the inductance is increased by two fold and resistance is decreased by two fold, then the quality factor after this change will be_____.

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answer is 282.84.

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Detailed Solution

Quality factor ,Q=LωR where ω=1LC⇒Q=1RLC=100( given )⇒Q′=1R/22LC=221RLC=2002=282.84
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In a series LCR resonant circuit, the quality factor is measured as 100. If the inductance is increased by two fold and resistance is decreased by two fold, then the quality factor after this change will be_____.