Which of the following combinations should be | vedclass

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(D) For better tuning of an $L-C-R$ circuit used in communication,the quality factor $Q$ must be high.The formula for the quality factor is $Q = \frac

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$R=15 \Omega, L=3.5 	ext{ H}, C=30 \mu	ext{F}$

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(D) For better tuning of an $L-C-R$ circuit used in communication,the quality factor $Q$ must be high.The formula for the quality factor is $Q = \frac{1}{R} \sqrt{\frac{L}{C}}$.To maximize $Q$,we need a small resistance $R$,a large inductance $L$,and a small capacitance $C$.Comparing the given options:$A: R=20, L=1.5, C=35$$B: R=25, L=2.5, C=45$$C: R=25, L=1.5, C=45$$D: R=15, L=3.5, C=30$Option $D$ has the minimum resistance $(15 \Omega)$,the maximum inductance $(3.5 	ext{ H})$,and the minimum capacitance $(30 \mu	ext{F})$.Therefore,the combination in option $D$ provides the highest quality factor,resulting in better tuning.

List-$I$	List-$II$
$(a)$ $\omega L > \frac{1}{\omega C}$	$(i)$ Current is in phase with $emf$
$(b)$ $\omega L = \frac{1}{\omega C}$	$(ii)$ Current lags behind the applied $emf$
$(c)$ $\omega L < \frac{1}{\omega C}$	$(iii)$ Maximum current occurs
$(d)$ Resonant frequency	$(iv)$ Current leads the $emf$

Which of the following combinations should be selected for better tuning of an $L-C-R$ circuit used for communication?

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