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

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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