Finding the Inverse of a Circuit: Step-by-Step Guide for Basic Laplace Questions

[Desii]

Homework Statement

I'm stuck on finding the inverse of this circuit. Can anyone please check my work, In this circuit you are suppose to find v(t) when switch moves to point 2 ( meaning deattached from battery).

Homework Equations

The Attempt at a Solution

http://postimage.org/image/z9acdes87/

 

[lurflurf]

The inverse of 1/s is the unit step.

 

[Desii]

That answer doesn't explain anything about the circuit, So I did it wrong, can you please check my work

 

[HallsofIvy]

It would help if you tell us what you mean by the "inverse of a circuit"! In your attachment, you seem to be trying to find the inverse of the Laplace transform and lurflurf told you exactly how to do that.

As for "checking your work", you are fine up until finding the inverse of the Laplace transform [24C/(RC+2)] (1/s). That has a lot to do with finding the current, i. I don't know what you mean by "has to do with the circuit". What more are you trying to find?