Realistic Series RLC Circuit equation

Discussion in 'Homework Help' started by rybochen, Nov 11, 2010.

  1. rybochen

    Thread Starter New Member

    Nov 11, 2010
    1
    0
    Please see pdf attachment for question a) and provide me with advices, hints, answers, anything....

    I have trying to prove the equation for 2 hours now, and I still dont know how.

    Please help me. Thank you!
     
  2. t_n_k

    AAC Fanatic!

    Mar 6, 2009
    5,448
    782
    This is basically a nodal analysis problem.

    On the circuit mark 3 currents

    - the inductor current (also in series with RL and Rs) [i1(t)]
    - the current in Rc [i2(t)]
    - the current in C [i3(t)]

    i1(t)=i2(t)+i3(t)

    The current i1(t) in inductor L is related to the difference between Vs and Vc

    Vs(t)-Vo(t)=(Rs+RL)*i1(t) + L*(di1(t)/dt)

    The current in Rc, i2(t) =Vo(t)/Rc

    The current in C, i3(t)=C*(dVo(t)/dt)=C*Vo'

    Hopefully this will give you a start.

    You should show your working to allow comment from members.
     
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