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Frequency Response Math

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LAN_403

the_anomaly

Sun Sept 19 2010, 01:36PM

Registered Member #19 Joined: Thu Feb 02 2006, 03:19PM
Location: Jacksonville, FL
Posts: 168

Hey all,
I am having some trouble following the math in my textbook. See below:

I can get eqn. 7.2 then 7.3 but I can't get to eqn. 7.4. How do I pull the term Rp/(Rs+Rp) out? thanks

klugesmith

Sun Sept 19 2010, 03:29PM

Registered Member #2099 Joined: Wed Apr 29 2009, 12:22AM
Location: Los Altos, California
Posts: 1716

Nick wrote ...

Hey all,
I am having some trouble following the math in my textbook. See below:
<inappropriately huge image not repeated>
I can get eqn. 7.2 then 7.3 but I can't get to eqn. 7.4. How do I pull the term Rp/(Rs+Rp) out? thanks

does this help?
Eq 7.3 has the form (s * t1)/(1 + s * t2).
Eq 7.4 wants to get that form with the same time constant top and bottom,
so inserts a factor K = t1/t2, which is the high frequency gain.

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