Consider the following transfer function: G(s) = s(Ts+1). 1. Write the polar form of ju and (1+ jwT). 2. Write the magnitude and phase of G(jw). 3. Write the magnitude in dB of G(jw). 4. What is the approximate magnitude of G(jw) in dBs for the low and high frequencies w, respectively?

icon
Related questions
Question

4

Consider the following transfer function:
G(s) = s(Ts+ 1)².
1. Write the polar form of jw and (1+ jwT).
2. Write the magnit ude and phase of G(jw).
3. Write the magnitude in dB of G(jw).
4. What is the approximate magnitude of G(jw) in dBs for the low and high frequencies
w, respectively?
5. What is the approximate phase of G(jw) for the low and high frequencies w, respec-
tively?
6. Draw the approximate Bode plot (magnitude and phase) of G(jw). Show clearly the
slope of the approximate asymptotes, if different from zero.
Transcribed Image Text:Consider the following transfer function: G(s) = s(Ts+ 1)². 1. Write the polar form of jw and (1+ jwT). 2. Write the magnit ude and phase of G(jw). 3. Write the magnitude in dB of G(jw). 4. What is the approximate magnitude of G(jw) in dBs for the low and high frequencies w, respectively? 5. What is the approximate phase of G(jw) for the low and high frequencies w, respec- tively? 6. Draw the approximate Bode plot (magnitude and phase) of G(jw). Show clearly the slope of the approximate asymptotes, if different from zero.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer