laplace transform
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??😒
Replies
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Saandeep SreerambatlaSince 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-. -
sayandevIs it about the impulse at t->0 ????
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d_vipulme too having same problem
VIPUL -
shreyasm89While 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.
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