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JEE Advanced Physics Capacitance 2024 JEE Advanced 2024 (Paper 1)

JEE Advanced Physics Question (2024) — Solution

Question

Four identical thin, square metal sheets, S_1, S_2, S_3 and S_4, each of side a are kept parallel to each other with equal distance d( a) between them, as shown in the figure. Let C_0= _0 a^2 / d, where _0 is the permittivity of free space. Match the quantities mentioned in List-I with their values in List-II and choose the correct option.

Options

  1. A. P 3 ; Q 2 ; R 4 ; S 5
  2. B. P 2 ; Q 3 ; R 2 ; S 1
  3. C. P 3 ; Q 2 ; R 4 ; S 1
  4. D. P 3; Q 2 ; R 2 ; S 5

Answer

C. P 3 ; Q 2 ; R 4 ; S 1

Step-by-step solution

For P All are in series \( gathered C_ e q = C_0 3 \\ P (3) gathered \) For Q \( gathered C_ e q = C_0 2 \\ Q (2) gathered \) For R \( gathered C_ e q = 2 C 3 \\ R (4) gathered \) For S \( aligned & C_ e q =3 C_0 \\ & S (1) aligned \)

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