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(а) Consider the RL network shown in Figure Q2 (a). 2H 20 V,(s) 2H VL(s) Figure Q2 (a)

(а) Consider the RL network shown in Figure Q2 (a). 2H 20 V,(s) 2H VL(s) Figure Q2 (a)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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(а) Consider the RL network shown in Figure Q2 (a). 2 H 20 V,(s) 20 2H V(s) Figure Q2 (a) By applying Kirchhoffs Law or otherwise, find the transfer function V(s)/V,(s), of the RL network. (i) (ii) Derive the mathematical expression for the time response obtained in Q2(a)(i) when the input applied to the RL network is a unit step & a unit ramp. (b) A mass-spring-damper system with unity negative feedback is shown in Figure Q2 (b). R(s) 1 C(s) 200 s (s+10) Figure Q2 (b) Using mathematical calculations, determine, (i) damping ratio 3, (ii) underdamped natural frequency Wn. (iii) peak time Tp, (iv) settling time T,, (v) rise time T, and (vi) percentage overshoot %0S Obtain the step response of Q2(b) using MATLAB and display the peak (c) time Tp, settling time T,, rise time T,, and percentage overshoot %0S of the step response in the plot.
Transcribed Image Text:(а) Consider the RL network shown in Figure Q2 (a). 2 H 20 V,(s) 20 2H V(s) Figure Q2 (a) By applying Kirchhoffs Law or otherwise, find the transfer function V(s)/V,(s), of the RL network. (i) (ii) Derive the mathematical expression for the time response obtained in Q2(a)(i) when the input applied to the RL network is a unit step & a unit ramp. (b) A mass-spring-damper system with unity negative feedback is shown in Figure Q2 (b). R(s) 1 C(s) 200 s (s+10) Figure Q2 (b) Using mathematical calculations, determine, (i) damping ratio 3, (ii) underdamped natural frequency Wn. (iii) peak time Tp, (iv) settling time T,, (v) rise time T, and (vi) percentage overshoot %0S Obtain the step response of Q2(b) using MATLAB and display the peak (c) time Tp, settling time T,, rise time T,, and percentage overshoot %0S of the step response in the plot.
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