Deriving capacitor voltage equations for a square wave input

[frankkk]

I am trying to solve a homework problem. I need some help to get going in the right direction if possible. My equation I am starting with is:

Vc(t) = 5(1-e^(-t/T))

and I have to end up with these two equations:
If T > 1/10f then for a 5 V square wave with a 50% duty cycle, the capacitor voltage is given by

Vc(t) = 5 - (5 / 1+e^(-1/2*f * T)) * e^(-t/T)

and

Vc(t) = (5 / 1+e^(-1/2*f * T)) * e^(-t/T)

Thanks!

 

[Gokul43201]

Frankkk, we can't help you unless you show some effort first. Please read our posting guidelines for homework. Also read the sticky thread at the top of this subforum.