GATE EE 2015 Set 1 — Question 30
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumSeries & Parallel ResonanceTransient & AC Steady-StateElectric Circuits
Electric Circuits → Transient & AC Steady-State → Series & Parallel Resonance
Last updated
Question
An inductor is connected in parallel with a capacitor as shown in the figure.

As the frequency of current is increased, the impedance () of the network varies as
As the frequency of current is increased, the impedance () of the network varies as
Correct answer
(B) [figure]
Solution
The impedance of a parallel LC circuit is given by:
The reactance is the imaginary part: .
The reactance is the imaginary part: .
1.At low frequencies (), the denominator is positive, so (Inductive). As , . As , .
2.At resonance (), the impedance is infinite (parallel resonance).
3.At high frequencies (), the denominator is negative, so (Capacitive). As increases from , goes from towards .
Graph B correctly depicts this transition from inductive reactance () to capacitive reactance () through a pole at the resonant frequency.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…