# Laplace and transfer function ( input output voltage)

1. May 3, 2012

### gethelpelectr

1. The problem statement, all variables and given/known data
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

2. Relevant equations
convolution integral..its hard to write and laplace table

3. 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 Im 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

2. May 3, 2012

### RoshanBBQ

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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