Laplace and transfer function ( input output voltage)

AI Thread Summary
The discussion centers on solving a transfer function problem using the convolution integral. The given transfer function is H(s) = Vo/V1 = (10/s)/(4+0.4s+(10/s), with an input voltage V1 = 10(u(t)-u(t-0.1))V. Participants highlight the difficulty in inverting the Laplace transform after attempting to find Vo using the transfer function and V1. It is suggested that the correct approach involves first determining the impulse response in the time domain rather than working solely in the Laplace domain. The conversation emphasizes the importance of following the problem's instructions to use the convolution integral for the solution.
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Homework Statement


Given transfer function : H(s)=Vo/V1=(10/s)/(4+0.4s+(10/s)) and the input voltage is given as V1=10(u(t)-u(t-0.1))V. Use the convolution integral to find Vo for t>=0.1


Homework Equations


convolution integral..its hard to write and laplace table

The Attempt at a Solution


find the laplace for v1 then find laplace for Vo which is the transfer function times V1.. however when I'm doing that I am getting an extremely hard laplace to invert.
This should not be the case since this is a multiple choice question of an exam i had today
Thank you a lot
 
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The problem tells you to use the convolution integral, so I have no idea why you are working in the Laplace domain. Your first step should be to find the impulse response in the time domain.
 
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