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Impulse and Step response

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Date Posted: 6/19/2008 3:34:32 PM  Status: Live
Impulse and Step response
Course Textbook Chapter Problem
Signal Theory Signal Processing and Linear Systems (1st) by Lathi N/A N/A
Question Details:
Calculate the impulse and step response for the following circuit. Pleas show steps.


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Date Posted: 6/20/2008 1:05:32 AM  Status: Live
Asker's Rating: Helpful   
Response:
Given circuit diagram in s-domain:
 
      
 
From this we can write the following expression by using voltage division rule:
................ (1)
By taking inverse Laplace transform on both sides we can get impulse response of this system

................................ impulse response.
To find the step response we have to substitute in equation (1)
By using partial fractions we can write the above expression as below:
By taking inverse Laplace transform we can get
......................... step reponse.
 
I hope this helps you....................
mrskibigbumps's Comment:
Thank you! Is there a way to solve without Laplace?

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Date Posted: 6/23/2008 3:16:38 PM  Status: Live
Asker's Rating: N/A-Posted by Person Asking Question   
Response:

Can this problem be solved without the use of laplace transforms?




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