|-------E volt dc----------|
(+)___^^^^______||_____|(-)
.....(+)|---Vc---|(-)
Input is a dc voltage(polarities shown).
Vc=capacitor voltage
Before applying input, capacitor voltage Vc=Vi
After applying input and reaching steady state, Vc=Vss
But here in this case, steady state capacitor...
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...