A series RLC circuit is activated by a frequency \( (\omega) \) variable AC source of voltage \(...

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A series RLC circuit is activated by a frequency \( (\omega) \) variable AC source of voltage \( V_{S} \) volt as shown in the circuit. \( V_{R L} \) and \( V_{C} \) are the potential drops across \( R L \) and \( C \) respectively. Select the correct statement
(a) At low frequency limit, both \( V_{R L} \) and \( V_{C} \) are proportional to \( \frac{1}{\omega^{2}} \).
(b) At high frequency limit, \( V_{R L} \) approaches \( V_{S} \) but \( V_{C} \) is proportional to \( \frac{1}{\omega^{2}} \).
(c) At high frequency limit, both \( V_{R L} \) and \( V_{C} \) are proportional to \( \frac{1}{\omega^{2}} \).
(d) At low frequency, \( V_{R L} \) is proportional to \( \frac{1}{\omega} \), whereas \( V_{C} \) approaches \( V_{s} \)
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