GATE EC 2026 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.NAT+1 / -0MediumNode & Mesh AnalysisCircuit Fundamentals & TheoremsNetwork TheorySuperposition Theorem
Network Theory → Circuit Fundamentals & Theorems → Node & Mesh Analysis
Last updated
Question
The output voltage (in Volt) for the network given in the Figure is __. (rounded off to two decimal places)
Correct answer
0.95 to 1.05
Solution
Take the bottom rail as reference (0 V), the top rail at , and the mid-points of the left and right branches at and . All resistors are ; work in mA, k, V.The 6 V source fixes (its polarity does not affect , as shown below).Supernode : current entering from the top rail equals current leaving to the bottom rail:Bottom rail: the 1 mA source draws 1 mA out of the bottom rail and delivers it to the top rail, so the two lower resistors carry 1 mA in total:Substituting into the supernode equation:(For completeness, V and V; only the sum matters, which is why the 6 V source has no effect on .)Answer: V
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 Circuit Fundamentals & Theorems
2026 Set 1 Q23The relation between the input current () and the output voltage () of a circuit is governed…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…2025 Set 1 Q19Consider a part of an electrical network as shown below. Some node voltages, and the current…