A series RLC circuit, R=1000 Ohm, L=500 mH, C=1 microFarad , is given in Fig.1. a. Find the transfer function G(s)=Vc/V b. Find the settling time c. The pic time d. The percent overshoot

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Dnofar University
COLLEGE OF ENGINEERING
Department of ELECTRICAL AND COMPUTER ENGINEERING
ЕЕСЕ 360
Homework 1
Problem 1: (2 pts).
series RLC circuit, R=1000 Ohm, L=500 mH, C=1 microFarad, is given in Fig.1.
a. Find the transfer function G(s)=Vc/V
b. Find the settling time
c. The pic time
d. The percent overshoot
v(t)
vc(1)
i(t)-
Fig.1.
Problem 2 (3 pts).
a. Compare the performances of the first order system, the overdamped, underdamped
and critically damped second order system.
b. Explain how the performances of second order system depend on the damping ratio
and the natural frequency.
Transcribed Image Text:VOLTE V;OA II %19 VOLTE Homework1-EE... -> Dnofar University COLLEGE OF ENGINEERING Department of ELECTRICAL AND COMPUTER ENGINEERING ЕЕСЕ 360 Homework 1 Problem 1: (2 pts). series RLC circuit, R=1000 Ohm, L=500 mH, C=1 microFarad, is given in Fig.1. a. Find the transfer function G(s)=Vc/V b. Find the settling time c. The pic time d. The percent overshoot v(t) vc(1) i(t)- Fig.1. Problem 2 (3 pts). a. Compare the performances of the first order system, the overdamped, underdamped and critically damped second order system. b. Explain how the performances of second order system depend on the damping ratio and the natural frequency.
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