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=\epsilon_0 a^2 \/ d, where \epsilon_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. List-I List-II (P) The capacitance between S_1 and S_4 , with S_2 and S_3 not connected, is (1) 3 C_0 (Q) The capacitance between S_1 and S_4, with S_2 shorted to S_3, is (2) C_0\/2 (R) The capacitance between S_1 and S_3, with S_2 shorted to S_4, is (3) C_0\/3 (S) The capacitance between S_1 and S_2, with S_3 shorted to S_1, and S_2 shorted to S_4, is (4) 2 C_0\/3 (5) 2C_0 [JEE Adv 2024 P1]

Correct Answer is : P → 3; Q → 2; R → 4; S → 1

P → 3; Q → 2; R → 4; S → 5

P → 2; Q → 3; R → 2; S → 1

P → 3; Q → 2; R → 4; S → 1

P → 3; Q → 2; R → 2; S → 5

Capacitors

Section: Physics

Question : 1 of 17

Marks: +1, -0

Four identical thin, square metal sheets, S1,S2,S3, and S4, each of side a are kept parallel to each other with equal distance d(<<a) between them, as shown in the figure. Let C0=ε0a2∕d, where ε0 is the permittivity of free space.
Match the quantities mentioned in List-I with their values in List-II and choose the correct option.

	List-I		List-II
(P)	The capacitance between S1 and S4 , with S2 and S3 not connected, is	(1)	3C0
(Q)	The capacitance between S1 and S4, with S2 shorted to S3, is	(2)	C0∕2
(R)	The capacitance between S1 and S3, with S2 shorted to S4, is	(3)	C0∕3
(S)	The capacitance between S1 and S2, with S3 shorted to S1, and S2 shorted to S4, is	(4)	2C0∕3
		(5)	2C0

[JEE Adv 2024 P1]

P → 3; Q → 2; R → 4; S → 5
P → 2; Q → 3; R → 2; S → 1
P → 3; Q → 2; R → 4; S → 1
P → 3; Q → 2; R → 2; S → 5

Validate

Go to Question:

Next Question