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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctEasyApplication

JEE Main 30 June 2022, Shift 1, Physics Q40

Question 40 of 90 in this shift, Physics question 10 of 30, Section A.

Co\mathrm{C_o} is the capacitance of a parallel plate capacitor with air as a medium between the plates (as shown in Fig. 1). If half space between the plates is filled with a dielectric of relative permittivity εr\varepsilon_r (as shown in Fig. 2), the new capacitance of the capacitor will be :

The figure, in words

Two small drawings labelled 'Fig. 1' and 'Fig. 2', each showing two horizontal parallel plate lines one above the other; in Fig. 2 the right-hand part of the space between the plates is marked with vertical dashed lines.
  1. (1)Co2(1+εr)\frac{C_o}{2}(1+\varepsilon_r)Official answer
  2. (2)Co+εrC_o+\varepsilon_r
  3. (3)Co εr2\frac{C_o\,\varepsilon_r}{2}
  4. (4)Co(1+εr)C_o(1+\varepsilon_r)

Official answer

Option 1

NTA final key.

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

Same idea in other shifts

Asked 10× 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. 8 Apr 2024, Shift 2 · Q40A capacitor has air as dielectric medium and two conducting plates of area 12 cm212\ \mathrm{cm}^2 and they are 0.60.6 cm apart. When a slab of…MediumSingle correct
  5. 6 Apr 2023, Shift 1 · Q56A parallel plate capacitor with plate area A and plate separation d is filled with a dielectric material of dielectric constant K=4K=4. The…MediumNumerical valueHas a figure
  6. 27 Jul 2022, Shift 2 · Q56A parallel plate capacitor with width 4 cm, length 8 cm and separation between the plates of 4 mm is connected to a battery of 20 V. A…MediumNumerical value
  7. 28 Jul 2022, Shift 2 · Q9A slab of dielectric constant K has the same cross-sectional area as the plates of a parallel plate capacitor and thickness 34\frac{3}{4}…EasySingle correct
  8. 26 Aug 2021, Shift 2 · Q18A parallel-plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant…MediumDiagram basedHas 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 108 of the 174 JEE Main shifts held from 2017 to 2026.