Q1: Find (residues(r), poles(p) and direct terms[k) and then obtain a partial-fraction expansion for the polynomial ratio given by B(S) /A[S)? B(S) 2 A(S) S(S +1)(S + 2) Q2: Find polynomial ratio if (residuestr)= (-6, 4,3), poles(p)= (-3, -2, -1) and direct terms(k)=2? Q 3: Obtain (Zeroesle), poles(p) and gain (k) of B(S) /A(S)? B(S) 45? + 165 + 2 A(S) S+1253 + 445 + 485 Q4: Obtain the polynomial ratio B(S)/A(S), if (Zeroes(z)= (-1, -3), poles(p)= (0, -2, -4, -6) and gain (k)= 4? Q5: Obtain the inverse Laplace transform of: - B(S) 25 + 18s + 25 + 8S + 2 A(S) S + 45 + 95 Q6: Obtain the unit-step, impulse and ramp response of the following: - 25 + 8S +4 C(S) R(S) S+2 Q7: Find unit-step and ramp response for this system? yal Q8: Consider the tachometer feedback control system shown in figure below. Obtain the unit-step response curves when the tachometer feedback variable Kassumes six values: - k= 0.2,0.3,0.4,0.5,0.6 and 0.7

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
O t:YY
2nd Assignm..
Q1: Find (residues(r), poles(p) and direct terms(k) and then obtain a partial-fraction expansion for the
polynomial ratio given by B(S) /A(S)?
B(S)
A(S) S(S + 1)(S + 2)
Q 2: Find polynomial ratio if (residues(r)= (-6, -4,3), poles(p)= (-3, -2, -1) and direct terms(k)=2?
Q 3: Obtain (Zeroes(z), poles(p) and gain (k) of B(S) /A(S)?
45? + 165 + 2
B(S)
AS) S+ 1253 + 4452 + 48S
S* + 125* + 4452 + 48S
Q 4: Obtain the polynomial ratio B(S)/A(S), if (Zeroes(z)= (-1, -3), poles(p)= (0, -2, -4, -6) and gain (k)= 4?
Q 5: Obtain the inverse Laplace transform of: -
255 + 18s* + 2s + 8S + 2
S3 + 452 + 9S
B(S)
A(S)
Q 6: Obtain the unit-step, impulse and ramp response of the following: -
C(S) 253 + 8S + 4
s + 2
R(S)
Q7: Find unit-step and ramp response for this system?
ayad
RO)
07
2
syal
Q8: Consider the tachometer feedback control system shown in figure below. Obtain the unit-step
response curves when the tachometer feedback variable K assumes six values: - k= 0.2,0.3,0.4,0.5,0.6
and 0.7
Ra)
125
Q 9: Find the rise time, peak time, maximum overshoot, and settling time of the unit step response curve
of the 2d order system as shown: -
C(S)
25
R(S)
S2 + 6S + 25
Transcribed Image Text:O t:YY 2nd Assignm.. Q1: Find (residues(r), poles(p) and direct terms(k) and then obtain a partial-fraction expansion for the polynomial ratio given by B(S) /A(S)? B(S) A(S) S(S + 1)(S + 2) Q 2: Find polynomial ratio if (residues(r)= (-6, -4,3), poles(p)= (-3, -2, -1) and direct terms(k)=2? Q 3: Obtain (Zeroes(z), poles(p) and gain (k) of B(S) /A(S)? 45? + 165 + 2 B(S) AS) S+ 1253 + 4452 + 48S S* + 125* + 4452 + 48S Q 4: Obtain the polynomial ratio B(S)/A(S), if (Zeroes(z)= (-1, -3), poles(p)= (0, -2, -4, -6) and gain (k)= 4? Q 5: Obtain the inverse Laplace transform of: - 255 + 18s* + 2s + 8S + 2 S3 + 452 + 9S B(S) A(S) Q 6: Obtain the unit-step, impulse and ramp response of the following: - C(S) 253 + 8S + 4 s + 2 R(S) Q7: Find unit-step and ramp response for this system? ayad RO) 07 2 syal Q8: Consider the tachometer feedback control system shown in figure below. Obtain the unit-step response curves when the tachometer feedback variable K assumes six values: - k= 0.2,0.3,0.4,0.5,0.6 and 0.7 Ra) 125 Q 9: Find the rise time, peak time, maximum overshoot, and settling time of the unit step response curve of the 2d order system as shown: - C(S) 25 R(S) S2 + 6S + 25
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