Laplace transfer function for filter circuits

Discussion in 'Homework Help' started by Erica, Nov 19, 2012.

  1. Erica

    Thread Starter New Member

    May 18, 2011
    15
    1
    Given the Laplace transfer function H(jw)=(2wj)/(4wj+10000), when the frequency "w" becomes very large, is the Hmax=1/2?

    Could anyone help to confirm this?
     
  2. blah2222

    Well-Known Member

    May 3, 2010
    554
    33
    <br />
H(jw) = \frac{2wj}{4wj+10000}<br />

    As w gets very large, the 4wj term in the denominator will become very large as well. It will get to the point where it is much larger than 10000 and it will 'appear' as if the response is:

    <br />
H(jw) = \frac{2wj}{4wj} = \frac{1}{2}<br />
     
  3. Erica

    Thread Starter New Member

    May 18, 2011
    15
    1
    Thank you. It seems I've forgot the math.
     
    blah2222 likes this.
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