Realistic Series RLC Circuit equation

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

  1. rybochen

    Thread Starter New Member

    Nov 11, 2010
    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
    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)]


    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.