Cascaded series RC circuits

Discussion in 'Homework Help' started by jjj059, Aug 1, 2008.

  1. jjj059

    Thread Starter New Member

    Aug 1, 2008
    8
    0
    What's the right approach to determining the step response and source free response of the attached circuit? I've attempted to do KCL (usual 1st order analysis) at v1, v2, and v3, but it looks quite messy.
     
  2. blazedaces

    Active Member

    Jul 24, 2008
    130
    0
    I assume you're not using laplace transforms yet? Either way this is a fairly simple circuit. Everything is in series. You just need one equation. Yes, you use KCL:

    Vs = I*(R1+R2) + (1/c1+1/c2)*Integral(I*dt)

    Solve the equation (natural response + homogeneous response) and get your I.

    After that it's easy enough. Now, I'm assuming the drawing might be off or something, because voltage is supposed to be measured between a positive and a negative terminal, but either way it's something like this:

    V1 = I * R1
    V2 = 1/C1 * Integral (I * dt)
    V3 = I * R2

    Hope this was helpful,
    -blazed
     
  3. jjj059

    Thread Starter New Member

    Aug 1, 2008
    8
    0
    That was helpful, thanks. I'm a little rusty, but I worked it out with your answer.
     
  4. blazedaces

    Active Member

    Jul 24, 2008
    130
    0
    You welcome. Glad to have been of help...

    -blazed
     
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