We have seen that transfer functions can be frequency scaled by replacing s by s/kf each time that it occurs. Alternately, circuits can also be frequency scaled by dividing each capacitance and each inductance by the frequency scaling factor kf. Either way, the effect is the same. The frequency response is shifted to the right by kf. In particular, all cutoff, corner, and resonant frequencies are multiplied by kf. Suppose that we want to change the cutoff frequency of a filter circuit from wold to wnew. We set the frequency scale factor to Wnew ke = Wold and then divide each capacitance and each inductance by kf. Use frequency scaling to change the cutoff frequency of the circuit in Figure to 150 rad/s. Determine the scaling coefficient. 25 Q 10mH + vi(t) 3 µF

We have seen that transfer functions can be frequency scaled by replacing s by s/kf each time that it occurs. Alternately, circuits can also be frequency scaled by dividing each capacitance and each inductance by the frequency scaling factor kf. Either way, the effect is the same. The frequency response is shifted to the right by kf. In particular, all cutoff, corner, and resonant frequencies are multiplied by kf. Suppose that we want to change the cutoff frequency of a filter circuit from wold to wnew. We set the frequency scale factor to Wnew ke = Wold and then divide each capacitance and each inductance by kf. Use frequency scaling to change the cutoff frequency of the circuit in Figure to 150 rad/s. Determine the scaling coefficient. 25 Q 10mH + vi(t) 3 µF

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter23: Resistive-inductive-capacitive Series Circuits

Section: Chapter Questions

Problem 1PA: You are an electrician working in a plant. A series resonant circuit is to be used to produce a high...

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