Laplace transfer function for filter circuits

Thread Starter

Erica

Joined May 18, 2011
15
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?
 

blah2222

Joined May 3, 2010
582
\[
H(jw) = \frac{2wj}{4wj+10000}
\]

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:

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

Thread Starter

Erica

Joined May 18, 2011
15
\[
H(jw) = \frac{2wj}{4wj+10000}
\]

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:

\[
H(jw) = \frac{2wj}{4wj} = \frac{1}{2}
\]
Thank you. It seems I've forgot the math.
 
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