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In the circuit shown, L = 1 μH, C = 1 μF and R = 1 kΩ. They are connected in series with an a.c. source V = Vsin ωt as shown. Which of the following options is/are correct? L =1μH, C =1μF, R = 1kΩ

(A) The current will be in phase with the voltage if  ω = 104 rad.s-1

(B) The frequency at which the current will be in phase with the voltage is independent of R

(C) At  ω ~ 0 the current flowing through the circuit becomes nearly zero

(D) At  ω >> 106 rad. s-1, the circuit behaves like a capacitor

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