GATE EE 2014 Set 1 — Question 55
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0HardBode PlotsFrequency Response & Root LocusControl Systems
Control Systems → Frequency Response & Root Locus → Bode Plots
Last updated
Question
The Bode magnitude plot of the transfer function is shown below:
Note that . The value of is _____________.
Correct answer
0.7 to 0.8
Solution
From the Bode magnitude plot, we identify the corner frequencies where the slope changes:
1.A zero at corresponds to .
2.A zero at corresponds to .
3.A pole at corresponds to .
4.A pole at corresponds to .
5.A pole at corresponds to .
The transfer function in time-constant form is:For the horizontal segment between and , the magnitude is constant. In this frequency range, the gain is approximately . Based on the official answer range, .Calculating the required ratio:Thus, the value is 0.75.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 EE 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 Response & Root Locus
2026 Set 1 Q13The Laplace transform of the step response of a system is given by…2026 Set 1 Q29The asymptotic Bode magnitude plot of a system is shown. [figure] Which one of the following…2026 Set 1 Q52A system is characterized by the following state equation and output equation (: input,…2026 Set 1 Q53A system is represented in state-space form as follows: (: input, : state vector,…2025 Set 1 Q22Selected data points of the step response of a stable first-order linear time-invariant (LTI)…