1.) Answer the following questions based on the circuit below the source is init

Question

1.) Answer the following questions based on the circuit below the source is initial on with a value Vs and then turns off (Vs = 0): (Assume the source has been connected for a long time before it switches off)
a.) Find the initial voltage across the capacitor
b.) Find the voltage across the capacitor after a long time (The next steady state)
c.) Find the transient response for the voltage across the capacitor just after the voltage source is turned off.
d.) What is the time constant of the circuit?

Note:  This is primarily a conceptual problem with no real values

Answer the following questions based on the circuit below the source is initial on with a value Vs and then turns off (Vs = 0): (Assume the source has been connected for a long time before it switches off) Find the initial voltage across the capacitor Find the voltage across the capacitor after a long time (The next steady state) Find the transient response for the voltage across the capacitor just after the voltage source is turned off. What is the time constant of the circuit?

Explanation / Answer

a)initial voltage=0

b)steady state,capacitor behaves like open circuit

so voltage=R2*Vs/(R1+R2)

c)time constant=(Rp)*C

where Rp=parallel combination R1 and R2

=R1*R2/(R1+R2)

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