1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Inverse Laplace?

  1. Oct 6, 2011 #1
    1. The problem statement, all variables and given/known data

    Any way to reduce this function for simplification? (Trying to find the reverse Laplace function) I found this function after doing a circuit analysis on a transmission line.

    [tex] \frac{s^2RC+sL}{s^2RC+sL+R} [/tex]

    2. Relevant equations


    3. The attempt at a solution

    I couldn't arrive at anything past this
  2. jcsd
  3. Oct 6, 2011 #2


    User Avatar
    Science Advisor

    Well, seeing "[itex]s^2RC+ sL[/itex]" in both numerator and denominator, the first thing I would do is divide [itex]s^2RC+ sL+ R[/itex] into [itex]s^2RC+ sL[/itex]. Obviously, it will go into it once with remainder [itex](s^2RC+ sL)- (s^2RC+ sL+ R)= -R[/itex].

    That is
    [tex]\frac{s^2RC+ sL}{s^2RC+ sL+ R}= 1-\frac{R}{s^2RC+ sL+ R}[/tex]

    Now, if s is the variable, complete the square in the denominator.
  4. Oct 6, 2011 #3
    holy cow that was quick. Many thanks. I think that works out.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook