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

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 $C_{0} = ε_{0} a^{2} / d$ , where $ε_{0}$ is the permittivity of free space.

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Match the quantities mentioned in List-I with their values in List-II and choose the correct option.

Column I	Column 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	$(4) 2 C_{0} /3$
	$(5) 2 C_{0}$

TestHub · Accepted Answer

For P All are in series C e q ​ = 3 C 0 ​ ​ P → ( 3 ) ​ For Q C e q ​ = 2 C 0 ​ ​ Q → ( 2 ) ​ For R C e q ​ = 3 2 C ​ R → ( 4 ) ​ For S ​ ⇒ C e q ​ = 3 C 0 ​ S → ( 1 ) ​

Physics - Capacitor Question with Solution | TestHub

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