1. THE INPUT X(t) SET A: dy(t)/dt + y(y) = 3Xsin(2t) SET B: dy(t)/dt + 3y(t) = 5xcos(2t) WHAT IS THE TRANSFER FUNCTION? 2. CONSIDER A SYSTEM WITH CLOSE LOOP TRANSFER FUNCTION: SET A G(S) = C(S)/R(S) = 20(S+4) / (S²+85+15) SET B G(S) = C(S)/R(S) = 5(S-3)/(S²+25-15) WITH INPUT R(S) AND OUTPUT C(S). WHEN ALL INITIAL CONDITIONS ARE ZERO AND THE INPUT IS A 2V. WHAT WILL BE ITS OUTPUT c(t)?[hint: the answer should be in inverse laplace transforms] FUNCTION OF THE GIVEN CIRCUIT THEN DETERMINE ITS GAIN, POLES AND ZEROS THEN 813 PHMS, R2 = 6 OHMS L1 =

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ANSWER 1 AND 2
HANDWRITTEN THEN BOX THE FINAL ANSWERS

B. NEGATIVE
II. PROBLEM SOLVING:
PO-E: an ability to recognize, formulates and solves engineering problems.
1. THE INPUT X(t) TO A SYSTEM IS RELATED TO THE OUTPUT y(y) AS
SET A: dy(t)/dt + y(y) = 3Xsin(2t)
SET B: dy(t)/dt + 3y(t) = 5xcos(2t)
WHAT IS THE TRANSFER FUNCTION?
2. CONSIDER A SYSTEM WITH CLOSE LOOP TRANSFER FUNCTION: SET A G(S) = C(S)/R(S) = 20(S+4) /
(S²+85+15) SET B G(S) = C(S)/R(S) = 5(S-3)/(S²+25-15) WITH INPUT R(S) AND OUTPUT C(S).
WHEN ALL INITIAL CONDITIONS ARE ZERO AND THE INPUT IS A 2V. WHAT WILL BE ITS OUTPUT
c(t)?[hint: the answer should be in inverse laplace transforms]
3. FIND THE TRANSFER FUNCTION OF THE GIVEN CIRCUIT THEN DETERMINE ITS GAIN, POLES AND ZEROS THEN
PLOT IN THE S-PLANE. SET A: R1 = 4 OHMS, R2 = 8 OHMS, L1= 4H. SET B: R1 = 3 PHMS, R2 = 6 OHMS L1 =
2H.
5
R1
O
S
X
www
4. THE POLE ZERO PLOT OF THE TRANSFER FUNCTION IS GIVEN BELOW. FIND THE TRANSFER FUNCTION IF SET
A: S = 3/4, SET B: S = 2/3
R2
Transcribed Image Text:B. NEGATIVE II. PROBLEM SOLVING: PO-E: an ability to recognize, formulates and solves engineering problems. 1. THE INPUT X(t) TO A SYSTEM IS RELATED TO THE OUTPUT y(y) AS SET A: dy(t)/dt + y(y) = 3Xsin(2t) SET B: dy(t)/dt + 3y(t) = 5xcos(2t) WHAT IS THE TRANSFER FUNCTION? 2. CONSIDER A SYSTEM WITH CLOSE LOOP TRANSFER FUNCTION: SET A G(S) = C(S)/R(S) = 20(S+4) / (S²+85+15) SET B G(S) = C(S)/R(S) = 5(S-3)/(S²+25-15) WITH INPUT R(S) AND OUTPUT C(S). WHEN ALL INITIAL CONDITIONS ARE ZERO AND THE INPUT IS A 2V. WHAT WILL BE ITS OUTPUT c(t)?[hint: the answer should be in inverse laplace transforms] 3. FIND THE TRANSFER FUNCTION OF THE GIVEN CIRCUIT THEN DETERMINE ITS GAIN, POLES AND ZEROS THEN PLOT IN THE S-PLANE. SET A: R1 = 4 OHMS, R2 = 8 OHMS, L1= 4H. SET B: R1 = 3 PHMS, R2 = 6 OHMS L1 = 2H. 5 R1 O S X www 4. THE POLE ZERO PLOT OF THE TRANSFER FUNCTION IS GIVEN BELOW. FIND THE TRANSFER FUNCTION IF SET A: S = 3/4, SET B: S = 2/3 R2
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