Laplace Transform - Simple RC Circuit

Discussion in 'Homework Help' started by stobbz, Jan 7, 2011.

  1. stobbz

    Thread Starter New Member

    Jan 7, 2011
    7
    0
    I'm going through a worked example and am stumped by a certain step.

    Having applied the Laplace transform to each term in the original equation, I get the following:

    τ [ s * Vc(s) - Vc(0) ] + Vc(s) = Vs(s)

    How is this equation rearranged to give:

    Vc(s) = Vc(0) / (s+ 1/τ) + Vs(s) / τ(s+1/τ)

    ?

    I can't see how to get from the first equation to the second.

    Any help appreciated :)
     
  2. mik3

    Senior Member

    Feb 4, 2008
    4,846
    63
    Just solve for Vc(s)!
     
  3. Georacer

    Moderator

    Nov 25, 2009
    5,142
    1,266
    Break down the parentheses, isolate the terms containing Vc and regroup them. What more is there to say?
     
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