Complex RLC circuit analysis

Discussion in 'Homework Help' started by john williamsXT, Jul 26, 2009.

  1. john williamsXT

    Thread Starter Member

    Jul 14, 2009
    10
    0
    The attached circuit was referred to in my earlier thread Complex RLC circuit.
    At t=0,i=0,q=q2=0.
    I have been working for days on solving the differential equations for i1(t) and i2(t).
    My expression for i1(t) is as follows.
    <br />
i_1(t)=0.16\cos{100t}+0.11\sin{100t}+(7.06)10^{-7}C_1e^{-1190t}+e^{-0.5t}(C_2\cos{31.6t}+C_3\sin{31.6t})<br />
    Now I can apply the initial condition at t=0,i=i1=i2=0 then
    <br />
i_1(0)=0=0.16+(7.06)10^{-7}C_1+C_2<br />
    Also
    <br />
(\frac{di_1}{dt})=0<br />
    At t=0.
    Which gives.
    <br />
11-(8.4)10^{-4}C_1-0.5C_2+31.6C_3=0<br />
    My problem at this stage is finding another initial condition to give me a third equation to find all 3 constants?
    Firstly can anyone confirm my solution for i1 and then supply another initial condition.
    FOR THE ORIGINAL DIFFERENTIAL EQUATIONS PLEASE REFER BACK TO MY ORIGINAL THREAD.
    Cheers
    John
     
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