I have an RLC circuit and I need to calculate the voltage across each component for the overdamped case, critically damped case, and underdamped case. For each case, the resistance is changed. The circuit is powered by a square wave of peak voltage 2 V. The square wave is used to model a DC source. I have not been given any initial conditions of the circuit, so I am having trouble figuring out how to apply the current equations to this circuit, since the initial conditions are needed to find the constants A and B, which are utilized in the equations for current in a series RLC circuit.

Overdamped Case:

I(t)=Ae^(s1*t) + Be^(s2*t)

Critically damped Case:

I(t)=(

*A*+

*B*

*t*)

*e*s

*t*Underdamped Case:

I(t)=e^(-alpha*t)*(Csin(wt)+Dcos(wt))