- #1
kkasper
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Homework Statement
Determine the capacitor voltage in the laplace domain.
Homework Equations
http://picturepush.com/public/8001507
http://picturepush.com/public/8001507
The Attempt at a Solution
http://picturepush.com/public/8001546
http://picturepush.com/public/8001546
Using nodal analysis:
[itex]\frac{Vc-20/s}{3+s}[/itex] + Vc0.5s -4=0
=> Vc= [itex]\frac{8s^2+24s+40}{s(s+1)(s+2)}[/itex]
but the answer should be:
Vc= [itex]\frac{24}{s(s+1)(s+2)}[/itex] which is my answer minus 8/s
After studying the laplace equivalents of capacitors and inductors, i still feel i am doing something wrong in deciding what the polarity of the added sources is, or which voltage in the laplace circuit (the one across the capacitor or the one across the capacitor and the addded source) i should treat as the actual voltage of the capacitor.
I hope someone could help me out. Thank you.