For the Circuit shown below, V1=5V, R1= 20 kiloOhm, R2= 100kiloOhm, and C= 0.1 microF. Assume the switch in the circuit below has been open for a long time. At t=0, the switch is closed and at t=5 sec the switch is re-opened.
a. determine Vc(t) for 0 < t < 5
b. determine Vc(t) for t > 5
c. determine the time constants for the transient rise and decay, (Tao rise and Tao fall) and explain why they are different