Consider the following system. In the figure,
y(t)
denotes the voltage across the capacitor. (i) Find the transfer function
H(s)=(Y(s))/(U(s))
of the system. (ii) If
R=10K\Omega ,L=0.5mH
and
C=10\mu F
, find the poles and zeros. (iii) Compute settling time, rise time, peak time and % overshoot of the step response of the system. Please explain each step, and complete each part of the problem.

Question

Consider the following system. In the figure,

y(t)

denotes the voltage across the capacitor. (i) Find the transfer function

H(s)=(Y(s))/(U(s))

of the system. (ii) If

R=10K\Omega ,L=0.5mH

and

C=10\mu F

, find the poles and zeros. (iii) Compute settling time, rise time, peak time and % overshoot of the step response of the system. Please explain each step, and complete each part of the problem.

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