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8.4 Step-Response Series
RLC Circuits (2)
The solution of the equation should have two components:
the transient response vt(t) & the steady-state response vss(t):
·The transient response vt is the same as that for source-free case
·The steady-state response is the final value of v(t).
Ø    vss(t) =  v(∞)
·The values of A1 and A2 are obtained from the initial conditions:
Ø    v(0) and dv(0)/dt.
 
(over-damped)
(critically damped)
(under-damped)