In the circle shown and They are connected in series with a.c. source as shown.W

In the circle shown \( \boldsymbol{L}=\mathbf{1} \boldsymbol{\mu} \boldsymbol{H}, \boldsymbol{C}=\mathbf{1} \boldsymbol{\mu} \boldsymbol{F} \) and \( R=1 k \Omega . \) They are connected in series with a.c. source \( V=V_{0} \sin \omega t \) as shown.Which of the following option is/are correct? This question has multiple correct options

• A. The frequency at which the current will be in the phase with the voltage is independent of \( R \)
• B. At \( \omega \sim 0 \) the current flowing through the circuitt becomes nearly zero
• C. \( A t \omega>>10^{6} r a d . s^{-1}, \) the circuit behave like a capacitor
• D. The current will be in phase with the voltage if \( \omega= \) \( 10^{4} r a d \cdot s^{-1} \)