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Question 32

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 $$d$$ ($$\ll a$$) between them, as shown in the figure. Let $$C_0 = \varepsilon_0 a^2/d$$, where $$\varepsilon_0$$ is the permittivity of free space.

image

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

List-IList-II
(P)The capacitance between $$S_1$$ and $$S_4$$, with $$S_2$$ and $$S_3$$ not connected, is(1)$$3C_0$$
(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)$$2C_0/3$$
(5)$$2C_0$$

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