GATE EE 2021 Set 1 — Question 27
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0MediumField & Potential of ChargesElectrostaticsElectromagnetic Fields
Electromagnetic Fields → Electrostatics → Field & Potential of Charges
Last updated
Question
A point charge is held at the origin of a cartesian coordinate system. If a second point charge of is moved from to and subsequently to , then the total work done is ______ mJ. (Round off to 2 decimal places).Take in SI units. All coordinates are in meters.
Correct answer
8.9 to 9.1
Solution
1.The work done in an electrostatic field is independent of the path and depends only on the initial and final positions.
2.Initial distance from origin: m.
3.Final distance from origin: m.
4.Potential at initial point: V.
5.Potential at final point: V.
6.Work done J = 9 mJ.
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 Electrostatics
2026 Set 1 Q15A uniform ring charge of radius carries a total charge . Which one of the following options…2026 Set 1 Q16A positive point charge with velocity enters a region having electric field…2026 Set 1 Q51The figure shows an arbitrarily shaped planar conducting loop A in the XY plane. Two…2026 Set 1 Q63A uniform spherical volume charge distribution of radius m, centered at the origin, has a…2025 Set 1 Q25Which one of the following figures represents the radial electric field distribution caused…