Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Help with RLC circuit

  1. Apr 18, 2006 #1
    i have a question where
    s1,2=(-4 (+-) j3) 10^3
    are roots of a second order D.E of a series RLC ckt
    where s1,2=(-z (+-) (z^2 -1)
    (z is zeta)
    now from
    s1,2=(-4 (+-) j3) 10^3 ,its showing roots of underdamped ckt(complex nd conjugate)
    but when i solve eq. z gives 2 values(but z must be less than 1 nd gr8er than 0 acc. 2 condition of underdamped ckt)
    help plz
  2. jcsd
  3. Apr 18, 2006 #2


    User Avatar

    The roots of a second order system are:
    [tex]s_{1,2} = -\zeta \omega_n \pm j\omega_n \sqrt{1 - \zeta^2}[/tex]
    where [tex]\omega_n[/tex] is the undamped natural frequency and [tex]\zeta[/tex] is the damping coefficient.
    Last edited by a moderator: Apr 19, 2006
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Help with RLC circuit
  1. RLC circuits (Replies: 4)

  2. Help with RLC circuit (Replies: 2)

  3. RLC oscillator circuit (Replies: 8)