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Saturday, 31 October

JEE Main 2023 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 6 April 2023, Shift 2, Physics Q59

Question 59 of 90 in this shift, Physics question 29 of 30, Section B.

As shown in the figure, two parallel plate capacitors having equal plate area of 200 cm2^2 are joined in such a way that a≠ba \neq b. The equivalent capacitance of the combination is x ϵ0x\,\epsilon_0 F. The value of xx is __________.

The figure, in words

Four horizontal plates stacked vertically, with a central vertical wire joining them; a and b are the gaps at the top pair and bottom pair of plates respectively, c = 1 mm is the gap between the two middle plates, and d = 5 mm is the total separation between the outer plates (as labelled).

Official answer

5

NTA final key.

Chapter
Electrostatic Potential and Capacitance
Topic
Parallel Plate Capacitors
Idea tested
Series and Parallel Combinations

Same idea in other shifts

Asked 17× in all
  1. 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
  2. 5 Apr 2024, Shift 1 · Q54Three capacitors of capacitances 25 μF25\ \mu\mathrm{F}, 30 μF30\ \mu\mathrm{F} and 45 μF45\ \mu\mathrm{F} are connected in parallel to a supply of…MediumNumerical value
  3. 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
  4. 10 Apr 2023, Shift 1 · Q41The equivalent capacitance of the combination shown isMediumDiagram basedHas a figure
  5. 11 Apr 2023, Shift 2 · Q60In the given circuit, C1=2 μF,C2=0.2 μF,C3=2 μF,C4=4 μF,C5=2 μF,C6=2 μF\mathrm{C_1 = 2\ \mu F, C_2 = 0.2\ \mu F, C_3 = 2\ \mu F, C_4 = 4\ \mu F, C_5 = 2\ \mu F, C_6 = 2\ \mu F}, The…HardNumerical valueHas a figure
  6. 15 Apr 2023, Shift 1 · Q55In the given figure the total charge stored in the combination of capacitors is 100 μ\muC. The value of 'xx' is ______________.EasyNumerical valueHas a figure
  7. 26 Jul 2022, Shift 1 · Q41The total charge on the system of capacitors C1=1 μC_1 = 1\ \muF, C2=2 μC_2 = 2\ \muF, C3=4 μC_3 = 4\ \muF and C4=3 μC_4 = 3\ \muF connected in parallel…EasySingle correct
  8. 30 Jul 2022, Shift 2 · Q25Combination of four parallel plate air capacitors is shown in figure. Separation between the plate P1_1 & P2_2 is d3\frac{d}{3} and…MediumNumerical valueHas 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.