GATE EE 2022 Set 1 — Question 31
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0MediumSinusoidal Steady-StateTransient & AC Steady-StateElectric Circuits
Electric Circuits → Transient & AC Steady-State → Sinusoidal Steady-State
Last updated
Question
In the circuit shown below, the switch is closed at . The magnitude of the steady state voltage, in volts, across the resistor is _________. (round off to two decimal places).
Correct answer
4.95 to 5.05
Solution
Circuit topology. The source, switch and the resistor form one series branch. Across the two ends of that branch sit two parallel branches: the pair, and the capacitor in series with the resistor.Steady state (). The capacitor is an open circuit for DC, so the + branch carries no current. The circuit reduces to the source driving in series with .The voltage across the parallel pair (and hence across the resistor) by the voltage-divider rule:(The capacitor charges to this same , since no current flows through the resistor.)The magnitude of the steady-state voltage across the resistor 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 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 Transient & AC Steady-State
2026 Set 1 Q23A circuit with ideal elements is shown. [figure] Which one of the following options correctly…2026 Set 1 Q24For the circuit shown, which one of the following options correctly identifies the Thevenin’s…2026 Set 1 Q25Refer to the four circuits shown. Which one of the following options for and …2026 Set 1 Q26A single-phase voltage source V delivers a current,…2026 Set 1 Q42An electrical component has voltage drop , when the current through it is…