laplace transform

sayandev

sayandev

@sayandev-gFpH1L Oct 25, 2024
Why do we take 0- as the lower limit while doing laplace transform to find initial condition of a network instead of taking 0 as lower limit??😒

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  • Saandeep Sreerambatla

    Saandeep Sreerambatla

    @saandeep-sreerambatla-hWHU1M Sep 23, 2010

    Since we define all the laplace functions for t>=0!
    In that case we need the value of the system at the moment it is arriving zero like 0-.
  • sayandev

    sayandev

    @sayandev-gFpH1L Sep 23, 2010

    Is it about the impulse at t->0 ????
  • d_vipul

    d_vipul

    @d-vipul-wP6Syg Sep 24, 2010

    me too having same problem

    VIPUL
  • shreyasm89

    shreyasm89

    @shreyasm89-jGobVm Sep 25, 2010

    While taking the Laplace transform of a system we take t=0 as the reference value of the variable as the starting point of the system. But the system will be already in a current state i.e. before we start observing it there is an initial state of the system. This is represented by t=0-. Now the system equations in s-domain will consist of differential equations which need a continous function to operate.If we simply ignore the initial condition of the system then thre will be errors in the derivation of final state of the system. Hence the complte Laplace integral has to integrate from t=0- to inf.