Question

Choose the correct options.

• A. Phasor diagram say nothing about the initial condition.
• B. Any arbitrary value of $t$, draw different phasors which show the relative angle between different phasors. The solution, so obtained is called the steady-state solution.
• C. We do have a transient solution which exists even for $V=0$. The general solution is the sum of transient solution and the steady-state solution.
• D. None of the above

Answer 1

Answer: (A), (B), (C)

When one has obtained the amplitude and phase of current for an $L-C-R$ series circuit using the technique of phasors. But this method of analysing AC circuits suffers from certain disadvantages. First, the phasor diagram say nothing about the initial condition. One can take any arbitrary value of $t$ $($ say,$t_1)$ and draw different phasors which show the relative angle between different phasors.
The solution so obtained is called the steady-state solution. This is not a general solution. Additionally, we do have a transient solution which exists 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 behaviour of the circuit is described by the steady-state solution.