# 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
565
33
$
H(jw) = \frac{2wj}{4wj+10000}
$

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:

$
H(jw) = \frac{2wj}{4wj} = \frac{1}{2}
$

3. ### Erica Thread Starter New Member

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

blah2222 likes this.