Engineering What Are the Initial and Steady State Values in an SPST Switched RLC Circuit?

[asdf12312]

Homework Statement

SPST switch closes at t=0. Find vC(0-) and iL(0-), iC(0) and vL(0), and vC(infinity) and iL(infinity).

Homework Equations

The Attempt at a Solution

kind of basic circuit, i know, but i just wanted to check my answers in case i did something wrong.

At t=0- : capacitor acts like open circuit, inductor like short circuit. also there no closed loops, so there's no current. vC(0-)=V(s)=12V, and iL(0-)=0.

at t=0: capaciator behaves like voltage source, inductor like current source of 0A. so would iC(0) be -3A? and vL(0)=12V.

at t=infinity: capacitor acts like open circuit, inductor like short circuit. vC(infinity)=0V, and iL(infinity)=4A.

 

[haxor489]

Looks right to me

 

[asdf12312]

anyone else?? did i do this right?

 

[rude man]

anyone else?? did i do this right?

Yes you did.