Laplace Transform on RC circuit

[CoolDude420]

Homework Statement

Homework Equations

The Attempt at a Solution

I'm kind of lost now, how do I go about getting this into the right form for partial fraction exapnsion. And also what do I do with the V(0'). There was no information given about it.

 

[magoo]

What is the problem statement? It is not clear from what you supplied. Also, why do you have an initial charge on the capacitor when the switch was initially open?

 

[CoolDude420]

The problem is to find v(t) for t>0. The diagram is a series combination of a voltage source E, resistor R and capcitance C. Where v(t) is the voltage across the capacitor. The step function diagram is for E not v(t)

 

[vela]

I'm kind of lost now, how do I go about getting this into the right form for partial fraction exapnsion.

Algebra.

And also what do I do with the V(0'). There was no information given about it.

It's reasonable to assume it's equal to 0, though the problem statement really should have included information about it.

 

[CoolDude420]

Algebra.

It's reasonable to assume it's equal to 0, though the problem statement really should have included information about it.

Any idea on what next "algebra" step to take?

 

[donpacino]

take a look at any inverse laplace table. You need to find a way to get your system into one of those forms.
So...

E/C / [ S * (Rs+1/C) ] = A1 + [A2 / S] + [A3 / (Rs+1/C)]

Solve for A and B. How do you do that. Try setting s=0 and s= -1/(RC), which will cancel out the values

 

[donpacino]

if you get stuck... http://lpsa.swarthmore.edu/BackGround/PartialFraction/PartialFraction.html
a search for partial fraction expansion yielded the above.