Question

An AC source drives a sinusoidal current of amplitude I0and frequency ? into an inductor having inductance L and a capacitor having capacitance C that are connected in series. The current as a function of time is given by I(t)=I0sin(?t)
Recall that the voltages VL(t) and VC(t) across the inductor and capacitor are not in phase with the respective currents IL(t) and IC(t). In particular, which of the following statements is true for a sinusoidal current driver?



A. VL(t) and VC(t) both lag their respective currents.
B. VL(t) and VC(t) both lead their respective currents.
C. VL(t) lags IL(t) and VC(t) leads IC(t).
D. VL(t) leads IL(t) and VC(t) lags IC(t).

Answer 1

Answer:

option (D)

Explanation:

In an LC circuit which are connected in series, the current lags by 90 by inductor and current leads by 90 by the capacitor.

So, VL(t) leads IL(t) and Vc(t) lags Ic(t).