GATE EE 2015 Set 2 — Question 19
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33EasyBoundary Conditions (E)ElectrostaticsElectromagnetic Fields
Electromagnetic Fields → Electrostatics → Boundary Conditions (E)
Last updated
Question
Two semi-infinite dielectric regions are separated by a plane boundary at . The dielectric constants of region 1 () and region 2 () are 2 and 5, respectively. Region 1 has uniform electric field , where , and are unit vectors along the and axes, respectively. The electric field in region 2 is
Correct answer
(A) 3aₓ + 1.6a_y + 2a_z
Solution
Boundary conditions at the interface of two dielectrics ():
.
Thus, the electric field in region 2 is .
1.Tangential component of electric field is continuous: . Here, tangential components are in the and directions. So, and .
2.Normal component of electric flux density is continuous (assuming no surface charge): . Here, the normal component is in the direction.
Given , , and ..
Thus, the electric field in region 2 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 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…