Design the circuit shown in Figure DP 9-5 so that vc t 0:2 e2t A1 cos 4t A2 sin 4t V for

Chapter 9, Problem DP9-7

(choose chapter or problem)

Design the circuit shown in Figure DP 9-5 so that

\(v_{\mathrm{c}}(t)=0.2+e^{-2 t}\left(A_1 \cos 4 t+A_2 \sin 4 t\right) \mathrm{V} \quad\) for \(t>0\)

Determine the values of the unspecified constants \(A_1\) and \(A_2\).

Hint: The circuit is underdamped, the damped resonant frequency is 4 rad / sec}, and the damping coefficient is 2.