Question

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 = V₀ sin 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

Answer 1

(B, C) The angular frequency at which the current and voltage will be at same phase is

This value is independent of 'R' So (B) is correct option.