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Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueHardMulti-step

JEE Main 27 June 2022, Shift 2, Physics Q55

Question 55 of 90 in this shift, Physics question 25 of 30, Section B.

A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is connected with a wire of length b, as shown in the figure. The capacitance of the arrangement is x15ϵ0Ab\frac{x}{15}\frac{\epsilon_0 A}{b}, The value of xx is ________.

The figure, in words

Two stair-shaped plate structures, one stepping down from the upper left and one stepping up from the lower left, facing each other; each horizontal step plate is labelled A, and each vertical gap between steps (and between the two staircases) is marked with a double-headed arrow labelled b.

Official answer

23

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. 6 Apr 2023, Shift 2 · Q59As 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…MediumNumerical valueHas a figure
  5. 10 Apr 2023, Shift 1 · Q41The equivalent capacitance of the combination shown isMediumDiagram basedHas a figure
  6. 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
  7. 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
  8. 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

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.