PROBLEM 01: Second Order Series RLC Circuits
In Fig. P1, below, the switch has been open for a very long time, there is no
current flowing through the circuit, and the capacitor voltage has been stable
at v_(c)(0^(-))=16. We then to close the switch at time t=0 in order to connect
the source voltage v_(s)(t)=V_(s)=32. Obtain a general formulation of the
capacitor voltage v_(c)(t) if each parameter has the following value:
R=24\Omega ;L=1H;,C=(1)/(400)=2.5mF
1a.- 15 points: Using Laplace, obtain a general formulation of the equation
that describes the capacitor's voltage v_(c)(t) of the circuit (Fig. P1).
1b.- 10 points: Obtain a general formulation of the equation that describes
the current i(t) of the circuit (Fig. P1).