Combination of four parallel plate air capacitors is shown in figure. Separation between the plate P$_1$ & P$_2$ is $\frac{d}{3}$ and separation between the plates P$_2$ and P$_3$ is d. The equivalent capacitance of the configuration is _______ µF. (Given $\frac{\in_0 A}{d}$ = 4µF . Where A=Area of plates)

JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumMulti-step

JEE Main 30 July 2022, Shift 2, Physics Q25

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

Combination of four parallel plate air capacitors is shown in figure. Separation between the plate P

_1

& P

_2

\frac{d}{3}

and separation between the plates P

_2

and P

_3

is d. The equivalent capacitance of the configuration is _______ µF. (Given

\frac{\in_0 A}{d}

= 4µF . Where A=Area of plates)

The figure, in words

Three plates P1 (top), P2 (middle), P3 (bottom) drawn as horizontal lines. P1 and P2 are separated by d/3; P2 and P3 by d. Between P1 and P2 two vertical lines divide the gap into three sections labelled by plate areas A/6, A/3 and A/2 (left to right). P3 spans the full width.

Official answer

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

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.