Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN: 9781337900348
Author: Stephen L. Herman
Publisher: Cengage Learning
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Chapter S, Problem 8RQ

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a) Write down the order of the transfer function in each of the following cases. Assume that there are no terms in the numerator that will cancel terms in the denominator. 10 H(s) H(s) = s+1 5 (s+3)(s—. 4) 4s1 5 H(s) = H(s) - 83 +1 s27s 6 H(s) H(s) = s(s²+4s) 2s27s+1 84583882 +3s+2 H(s) 83 +8 s+1 = H(s) s34s26s+5 s52s4383 + 4s2 +5s +6
Question 5 ( A system is found to have zeros of -3 and poles of 4, and -2. The system also has a gain of 4. Write out the corresponding transfer function. Question 6. A system has a transfer function of What is the gain, K, of the system? Question 7 ( A system has a transfer function of H(s) - 4 8+5 H(s): = 4 8 +5 A step input of size 3 is applied to the system at time zero (Since we're dealing with transfer functions, x(0) is also zero at time zero). a) [10] What is the response ✗(s) of the system? b) [10] Derive the time dependent solution, x(t), of this response
Note: You might want to do the last question first because the last question asks you to write some python code to calculate the zeros and poles. You could use that code here to help you (except the first problem which you should be able to do by inspection alone) Find the poles and zeros for each of the following transfer functions 1. S+3 H(s) = 8 5 2. H(s): = s238 +1 s2 +48 +3 3. s(s+4) H(s) s3+2s23s 4. 82-586 H(s) = - 8382-68 5. H(s): = s2 +48 +3 s45836s2 - 6
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