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How can I deduce the damping characteristics formula?

Discussion in 'Electronics Homework Help' started by chrisjrollin, Aug 3, 2015.

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  1. chrisjrollin


    May 3, 2015
    Dear members,

    I've got the interest arranging and deducing the formulas defining the damping characteristics of RC lag lead filter.

    This is the circuit I've designed:

    And this is sort of the arrangements to deduce the damping characteristics formula.

    And the problem is that, I'm trying to make the arrangements into the deduced form below:

    But this is the arrangement having the deduced form at its end and I could make as much far as possible:

    Is there any missing steps or wrong arrangment that I've made in the calculations above?
    I would gratefully take your advice and help to improve my knowledge.

    Thanks for your interest to my question.

    * References:
  2. LvW


    Apr 12, 2014
    I think, you must fail if you are trying to find a second-order function for a first-order circuit.
    The first part of your calculation is, of course, correct.

    Note that on page 632 of the 1st document we have two different finctions: First-order F(s) and second-order T(jw).
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