Initial condition of ZSR response of first order circuit:

[steven-ka]

Homework Statement

:[/B] I would like to know if the definition of the ZSR response means that the initial condition at any t0 needs to be 0.

Homework Equations

:[/B] let's say : we're trying to calculate the ZSR response from a first order equation of the voltage of a capacitor and the initial condition is: Vc(t0)=V0, Vc'(t)+(1/RC)*Vc(t)=X(t)/C

The Attempt at a Solution

: [/B]I assume that the solution for the ZSR response needs to be for the initial condition Vc(t0)=0

or correct me if that's should be Vc(0)=0.

I would appreciate any help, thanks a lot.

 

[NascentOxygen]

ZSR is the state that is influenced only by external inputs. So yes, initial conditions willbe zero.

See wikipedia. https://en.m.wikipedia.org/wiki/Zero_state_response