- #1
priya.k
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Homework Statement
I would like to derive the equation Vc=Vss+(Vi-Vss)*e^(-t/RC)
Vss is the steady state voltage
Vi is the initial capacitor voltage
Vc is the capacitor voltage
The Attempt at a Solution
I tried to find solution using laplace transform. E=iR+1/c∫idt.
Taking laplace, E/s=I(s)R+1/(cs)*I(s)-q(0+)/(cs)
Put q(0+)=cVc(0+)=cVi
Then taking inverse laplace
i(t)=(E-vi)/R *e^(-t/RC)
Vc=1/c∫idt
=(E-vi)(1-e^(-t/RC))
What is wrong? why am i not getting the correct answer? Please help...