AP EAMCET · PHYSICS · Alternating Current
For better tuning of a series LCR circuit in a communication system, the preferred combination is
- A \(\mathrm{R}=20 \Omega ; \mathrm{L}=15 \mathrm{H} ; \mathrm{C}=35 \mu \mathrm{~F}\)
- B \(\mathrm{R}=15 \Omega ; \mathrm{L}=40 \mathrm{H} ; \mathrm{C}=20 \mu \mathrm{~F}\)
- C \(\mathrm{R}=25 \Omega ; \mathrm{L}=15 \mathrm{H} ; \mathrm{C}=45 \mu \mathrm{~F}\)
- D \(\mathrm{R}=15 \Omega ; \mathrm{L}=20 \mathrm{H} ; \mathrm{C}=45 \mu \mathrm{~F}\)
Answer & Solution
Correct Answer
(B) \(\mathrm{R}=15 \Omega ; \mathrm{L}=40 \mathrm{H} ; \mathrm{C}=20 \mu \mathrm{~F}\)
Step-by-step Solution
Detailed explanation
\(Q = \frac{1}{R}\sqrt{\frac{L}{C}}\) \(Q_{\text{Option 2}} = \frac{1}{15 \, \Omega}\sqrt{\frac{40 \, \mathrm{H}}{20 \times 10^{-6} \, \mathrm{F}}} \approx 94.28\) The preferred combination is…
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