Find the phasor current I using mesh-current method.

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5. Answer the following questions. Take help from ChatGPT to answer these questions (if you need). Write the answers briefly using your own words with no more than two sentences, and check whether ChatGPT is giving you the appropriate answers in the context of our class. a) What is the Bode plot? What kind of input do we consider for the frequency-response- based method? b) What is the advantage of design using the frequency-response method? c) Define gain margin, phase margin, gain crossover frequency, and phase crossover frequency.

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Chapter 9.9, Problem 13AP

To determine

Find the phasor current I using mesh-current method.

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5. Answer the following questions. Take help from ChatGPT to answer these questions (if you need). Write the answers briefly using your own words with no more than two sentences, and check whether ChatGPT is giving you the appropriate answers in the context of our class. a) What is the Bode plot? What kind of input do we consider for the frequency-response- based method? b) What is the advantage of design using the frequency-response method? c) Define gain margin, phase margin, gain crossover frequency, and phase crossover frequency.

Phase (deg) 3. The Bode diagram of a system is shown below. Magnitude (dB) System: sys -10 Frequency (rad/s): 0.141 Magnitude (dB): -15.6 -20 -30 40 -50 -60 0 -45 -90 -135 101 10° Bode Diagram System: sys Frequency (radis): 10 Magnitude (dB): -18.9 System: sys Frequency (rad/s): 10 Phase (deg):-52.2 101 Frequency (rad/s) 102 103 Find the steady-state output of the system for each of the following inputs. a) u(t) = 100 b) u(t) 100 cos(10 t + 10°) = c) u(t) = 500 + 200 cos(10 t + 10°)

Phase (deg) 270 4. Consider a closed-loop system with unity (negative) feedback. The Bode diagram of the open-loop transfer function is given below. Magnitude (dB) -500 -150 -50 10 dB System Frequency (eds): 6.63 Magnitude (B) 0.0778 Буку Frequency(): 10.1 Magnitude ()-705 Frequency(6.63 Phase (deg): -144 Frequency (rad): 10.1 Phase (deg): -180 101 Frequency (rad) a) Find the gain margin, phase margin, gain crossover frequency, and phase crossover frequency. b) Is the closed-loop system stable? What is the steady-state error for step-input?