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

(over-damped)

(critically damped)

(under-damped)

• 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.