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Friday, 9 October

JEE Main 2021 · PhysicsNumerical answerNumerical valueEasyCalculation

JEE Main 16 March 2021, Shift 2, Physics Q27

Question 27 of 90 in this shift, Physics question 27 of 30, Section B.

In a parallel plate capacitor set up, the plate area of capacitor is 2 m22\ \mathrm{m^2} and the plates are separated by 1 m. If the space between the plates are filled with a dielectric material of thickness 0.5 m and area 2 m22\ \mathrm{m^2} (see fig) the capacitance of the set-up will be ________ εo\varepsilon_o. (Dielectric constant of the material = 3.2) (Round off to the Nearest Integer)

The figure, in words

Parallel plates separated by distance d; dielectric slab of constant k and thickness d/2 fills half the gap, adjacent to one plate.

Official answer

3

NTA final key.

Chapter
Electrostatic Potential and Capacitance
Topic
Parallel Plate Capacitors
Idea tested
Partially Filled Dielectric Slab

Same topic in other shifts

All Parallel Plate Capacitors questions
  1. 4 Apr 2026, Shift 1 · Q40A parallel plate air capacitor is connected to a battery. The plates are pulled apart at uniform speed vv. If xx is the separation…MediumSingle correct
  2. 4 Apr 2026, Shift 2 · Q37From the circuit given below, the capacitance between terminals AA and BB shown in the circuit is ________ μ\muF. (take…MediumDiagram basedHas a figure
  3. 5 Apr 2026, Shift 1 · Q37A displacement current of 4.0 A can be set up in the space between two parallel plates of 6 μ6\ \muF capacitor. The rate of change of…EasySingle correct
  4. 3 Apr 2025, Shift 2 · Q38Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is…EasySingle correct
  5. 7 Apr 2025, Shift 1 · Q26If ϵ0\epsilon_0 denotes the permittivity of free space and ΦE\Phi_E is the flux of the electric field through the area bounded by the…MediumSingle correct
  6. 9 Apr 2024, Shift 1 · Q40A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure. If the area of each…MediumSingle correctHas a figure

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.