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Friday, 9 October

JEE Main 2023 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 6 April 2023, Shift 1, Physics Q56

Question 56 of 90 in this shift, Physics question 26 of 30, Section B.

A parallel plate capacitor with plate area A and plate separation d is filled with a dielectric material of dielectric constant K=4K=4. The thickness of the dielectric material is xx, where x<dx<d. Let C1C_1 and C2C_2 be the capacitance of the system for x=13dx=\frac{1}{3}d and x=2d3x=\frac{2d}{3}, respectively. If C1=2 μFC_1=2\,\mu\mathrm{F} the value of C2C_2 is ____________ μF\mu\mathrm{F}

The figure, in words

Parallel plate capacitor: Plate-1 on top, Plate-2 at bottom; separation d; dielectric slab of thickness x rests on Plate-2 (lower plate), leaving a gap above it.

Official answer

3

NTA final key.

Chapter
Electrostatic Potential and Capacitance
Topic
Dielectrics
Idea tested
Partial and Multiple Slabs

Same idea in other shifts

Asked 5× in all
  1. 2 Apr 2026, Shift 1 · Q32A parallel plate air capacitor has a capacitance C. When it is half filled as show in figure with a dielectric constant K=5K=5, the…EasySingle correctHas a figure
  2. 8 Apr 2025, Shift 2 · Q49Space between the plates of a parallel plate capacitor of plate area 4 cm2^2 and separation of (d) 1.77 mm, is filled with uniform…MediumNumerical valueHas a figure
  3. 6 Apr 2024, Shift 2 · Q52A capacitor of 10 μF10\ \mu\mathrm{F} capacitance whose plates are separated by 10 mm through air and each plate has area 4 cm24\ \mathrm{cm}^2…HardNumerical valueHas a figure
  4. 18 Mar 2021, Shift 1 · Q29A parallel plate capacitor has plate area 100 m2^2 and plate separation of 10 m. The space between the plates is filled up to a thickness…MediumNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.