Draw phasor diagrams for $X_C > X_L$ and $X_C < X_L$,and state the disadvantages of the phasor method.

(N/A) If $X_C > X_L$,the phase angle $\phi$ is positive and the circuit becomes capacitive; consequently,the current in the circuit leads the source voltage.
If $X_C < X_L$,the phase angle $\phi$ is negative and the circuit becomes inductive; consequently,the source voltage in the circuit leads the current.
The phasor diagram and the variation of $V$ and $I$ with $\omega t$ for the case $X_C > X_L$ are shown in the figure.
Thus,we have obtained the amplitude and phase of the current for an $LCR$ series circuit using the technique of phasors,but this method has certain disadvantages:
$1$. The phasor diagram provides no information about the initial conditions.
$2$. One can choose any arbitrary value of $t$ and draw different phasors. The solution obtained is called the steady-state solution,which is not a general solution.
$3$. Furthermore,there exists a transient solution that persists even for $V = 0$.
The general solution is the sum of the transient solution and the steady-state solution. After a sufficiently long time,the effects of the transient solution die out,and the behavior of the circuit is described by the steady-state solution.