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Saturday, 31 October

JEE Main · Physics · Electrostatic Potential and Capacitance

Induced Surface Charge Density

JEE Main asked Induced Surface Charge Density 2 times in 2 of the 108 shifts Lumi analysed, in 2021 and 2025. It belongs to Dielectrics, in Electrostatic Potential and Capacitance (Physics). The longest wait between two years asking it was 4 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2021
last in 2025
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021 and 2025. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Physics questions.

00.10.20’170’200.03’210’220’230’240.13’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 1 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20251 of 8
  • 20240 of 18
  • 20230 of 12
  • 20220 of 24
  • 20211 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: application.

  • Dielectric constant from induced charge
  • Bound charge in terms of free charge and dielectric constant

Difficulty

Easy 1Medium 1Hard 0

1 of the 2 questions had a numerical answer.

Every question

All 2 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 7 Apr 2025, Shift 2 · Q49A parallel plate capacitor has charge 5×10−65\times10^{-6} C. A dielectric slab is inserted between the plates and almost fills the space…MediumNumerical value
  2. 25 Jul 2021, Shift 2 · Q11If qfq_f is the free charge on the capacitor plates and qbq_b is the bound charge on the dielectric slab of dielectric constant kk placed…EasySingle correct

Shifts: 25 Jul 2021, Shift 2, 7 Apr 2025, Shift 2.

Same topic

Other ideas in Dielectrics

Dielectrics has 9 ideas JEE Main has asked; 6 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas