(b) Figure Q.2b shows an RL circuit uses as a filter where v(t) as the input voltage and i(t) is the current. With R = 5 0 and L = 50 mH, the transfer function between the current and input voltage is: I(s) G(s) = V(s) 20 %3D s + 100 L R v(t) i(1) Figure Q.2b (i) Given the input voltage, v(t) = 4 Volt, show the time expression of the current (ii) Identify the system pole, time constant (7), rise time (T,) and settling time (Ts) of the system response. Subsequently, plot the response of the current. (iii) It is found that the speed of the current response is slow, and the settling time needs to be reduced by four-folds. If the value of the inductor is fixed, determine the new value of resistor.

(b) Figure Q.2b shows an RL circuit uses as a filter where v(t) as the input voltage and i(t) is the current. With R = 5 0 and L = 50 mH, the transfer function between the current and input voltage is: I(s) G(s) = V(s) 20 %3D s + 100 L R v(t) i(1) Figure Q.2b (i) Given the input voltage, v(t) = 4 Volt, show the time expression of the current (ii) Identify the system pole, time constant (7), rise time (T,) and settling time (Ts) of the system response. Subsequently, plot the response of the current. (iii) It is found that the speed of the current response is slow, and the settling time needs to be reduced by four-folds. If the value of the inductor is fixed, determine the new value of resistor.

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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