GATE EC 2016 Set 2 — Question 44
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0HardRL, RC & RLC TransientsTransient & AC AnalysisNetwork Theory
Network Theory → Transient & AC Analysis → RL, RC & RLC Transients
Last updated
Question
The switch S in the circuit shown has been closed for a long time. It is opened at time and remains open after that. Assume that the diode has zero reverse current and zero forward voltage drop.
The steady state magnitude of the capacitor voltage (in volts) is ______
Correct answer
99 to 101
Solution
When the switch is closed for a long time, the circuit reaches steady state. In DC steady state, the inductor acts as a short circuit and the capacitor acts as an open circuit.
The steady state magnitude of the capacitor voltage is .
1.Initial Inductor Current ():
The current through the inductor is determined by the source and the resistor:2.Initial Capacitor Voltage ():
Since the inductor is a short circuit to ground, the node voltage at the anode of the diode is . Thus, the capacitor is uncharged:3.After the switch is opened ():
The inductor current cannot change instantaneously. It flows through the diode into the capacitor. The diode allows current to flow only into the capacitor, preventing it from discharging back through the inductor. The energy initially stored in the inductor is completely transferred to the capacitor at steady state.4.Energy Conservation:
Substituting the given values (, , ):The steady state magnitude of the capacitor voltage 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 Transient & AC Analysis
2026 Set 1 Q23The relation between the input current () and the output voltage () of a circuit is governed…2026 Set 1 Q30The output voltage (in Volt) for the network given in the Figure is __. (rounded off to two…2026 Set 1 Q31Consider the circuit shown in the Figure, where the input is in Volt. The average power…2026 Set 1 Q39In the given circuit, and . The phasor diagram for and…2026 Set 1 Q51Consider the two-port network as shown in the Figure. Which of the following options provides the…