C = 1µF. %3D L i(t) R v(t) C v.lt) Figure Q2 a) Show that the transfer function Yc(sc is given by V(s)/ V.(s) = G(s) V(s) 1/LC R 1 s2 + s-+ LC Using appropriate calculations or otherwise, is the circuit overdamped, critically damped, underdamped or undamped? b) By substituting the values of R, L and C in the transfer function G(s). Derive the frequency response expression G(ja) and hence evaluate the gain |G(ja)| and phase p(w). c) Sketch the Bode diagram (Gain and phase) of the transfer function G(s) clearly indicating all the key information including the -3db point, system gain and all the relevant calculations.

C = 1µF. %3D L i(t) R v(t) C v.lt) Figure Q2 a) Show that the transfer function Yc(sc is given by V(s)/ V.(s) = G(s) V(s) 1/LC R 1 s2 + s-+ LC Using appropriate calculations or otherwise, is the circuit overdamped, critically damped, underdamped or undamped? b) By substituting the values of R, L and C in the transfer function G(s). Derive the frequency response expression G(ja) and hence evaluate the gain |G(ja)| and phase p(w). c) Sketch the Bode diagram (Gain and phase) of the transfer function G(s) clearly indicating all the key information including the -3db point, system gain and all the relevant calculations.

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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