GATE EC 2023 Set 1 — Question 57
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumBode PlotsFrequency-Domain AnalysisControl Systems
Control Systems → Frequency-Domain Analysis → Bode Plots
Last updated
Question
The asymptotic magnitude Bode plot of a minimum phase system is shown in the figure. The transfer function of the system is , where and are positive constants. The value of is __________(rounded off to the nearest integer).
Correct answer
4 to 4
Solution
From the asymptotic magnitude Bode plot:
1.The initial slope is dB/decade. This indicates a single pole at the origin. Thus, .
2.At the first corner frequency , the slope changes from dB/decade to dB/decade. This is a change of dB/decade, which indicates a single zero at . Thus, .
3.At the second corner frequency , the slope changes from dB/decade to dB/decade. This is a change of dB/decade, which indicates two poles at . Thus, .
The sum is:Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Frequency-Domain Analysis
2026 Set 1 Q11Consider the differential equation , with…2026 Set 1 Q19A control system is shown in the Figure. Which option represents the correct transfer function of…2026 Set 1 Q40For the control system shown in the Figure, the transfer function of a plant,…2026 Set 1 Q41The state and output equations for a control system are:…2026 Set 1 Q59Consider the unity negative feedback control system shown in the Figure. The value of gain …