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RLC Switch Circuit

  1. May 1, 2014 #1

    dwn

    User Avatar

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

    Image

    2. Relevant equations



    3. The attempt at a solution
    Code (Text):

    for t > 0:
    α = 1/2RC = 250
    ω = 1/√(LC) = 150
    ω < α    overdamped
    s1 = -50
    s2 = -450
    vc(t) = Ae[SUP]-50t[/SUP] + Be[SUP]-450t[/SUP]
    dv/dt = -50Ae[SUP]-50t[/SUP] - 450Be[SUP]-450t[/SUP]

    for t <0 :

    Vcap = 12(1/6) = 2 V  (open circuit)
    Iind = 12/6 = 2 A (short circuit)

    t > 0 :

    Vcap = 2V
    Iind = 2A
    vc(0) = 2V =  A+B
    dv(0)/dt = -50A - 450B = icap(0)/C
     
    At this point I get kind of lost and I'm not really sure what to do.
     

    Attached Files:

    Last edited: May 1, 2014
  2. jcsd
  3. May 1, 2014 #2

    dwn

    User Avatar

    Nevermind, I figured it out.
     
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