6.4 Circuits Involving Two Energy Storage Elements cont.

Underdamped cont.

xT(t) = e-at[C1cos(bt) + C2sin(bt)]

xT(t) = Ce-atcos(bt + f)

Where: C = (C12 + C22)1/2

and: f = tan-1(C2 / C1)

Transient Behavior: Roots of the Characteristic Equation

p2 + ap + b = 0