Find analytical expressions for the magnitude and phase

Chapter 10, Problem 1

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QUESTION:

Find analytical expressions for the magnitude and phase response for each G(s) below. [Section: 10.1]

a. G(s) = \(\frac{1}{s(s+2)(s+4)}\)

b. G(s) = \(\frac{(s+5)}{(s+2)(s+4)}\)

c. G(s) = \(\frac{(s+3)(s+5)}{s(s+2)(s+4)}\)

Questions & Answers

QUESTION:

Find analytical expressions for the magnitude and phase response for each G(s) below. [Section: 10.1]

a. G(s) = \(\frac{1}{s(s+2)(s+4)}\)

b. G(s) = \(\frac{(s+5)}{(s+2)(s+4)}\)

c. G(s) = \(\frac{(s+3)(s+5)}{s(s+2)(s+4)}\)

ANSWER:

Step 1 of 6

Part (a)

Substitute  in the above expression

                                                 

Solve further as

                                               

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