GATE EC 2022 Set 1 — Question 42

MCQ+2 / -0.67MediumInverting & Non-InvertingOp-Amp CircuitsAnalog CircuitsBode PlotsFrequency-Domain AnalysisControl Systems

Analog Circuits → Frequency-Domain Analysis → Bode Plots

Last updated 5 September 2026

Question

A_V(j\omega) = V_{out}(j\omega)/V_{in}(j\omega)

H(s) = \frac{V_{out}(s)}{V_{in}(s)} = \left( \frac{1/sC}{1\text{k} + 1/sC} \right) \left( 1 + \frac{R}{1\text{k}} \right) = \frac{1 + R/1\text{k}}{1 + s(1000)C}

Review answer and solution without JavaScript

Interactive answer checking needs JavaScript. The published solution is available below.

H(s) = \frac{V_{out}(s)}{V_{in}(s)} = \left( \frac{1/sC}{1\text{k} + 1/sC} \right) \left( 1 + \frac{R}{1\text{k}} \right) = \frac{1 + R/1\text{k}}{1 + s(1000)C}

Continue learning with Success Tracker

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.