Need help in step response circuit diagram

[whatphysics]

This isn't a homework question! I posted the question for context purpose.

So I understand that at t>0 the switch moves to b. Hence the first circuit diagram (pictured) I understand.

However for the 2nd circuit diagram (picture 2) when asked to transform to s domain. Why does this answer include the 10/s. To my understanding because the switch already switched to b, the 10V is no longer considered hence shouldn't be included as 10/s in the transformation circuit.

Can anyone explain this to me? Whether the answer key is wrong or are my concepts wrong?

Thank you so much in advance!

 

[cnh1995]

The switch was at 'a' for a long time. So what is the voltage across the capacitor at t=0⁺?

 

[Delta2]

As I can see from picture 1, it asks for the voltage V(t) for ##t\geq 0## so we are interested for the V(t) for t=0 too (not only for t>0).

 

[whatphysics]

As I can see from picture 1, it asks for the voltage V(t) for ##t\geq 0## so we are interested for the V(t) for t=0 too (not only for t>0).

Ah that would make sense..thanks!

 

[whatphysics]

The switch was at 'a' for a long time. So what is the voltage across the capacitor at t=0⁺?

Um 10V?

 

[cnh1995]

Um 10V?

Yes.