Question 70: Electrostats & Capacitance

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 $d(\ll a)$ between them, as shown in the figure. Let $${C_0} = {{{\varepsilon _0}{a^2}} \over d}$$, where $\varepsilon_0$ 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) $3C_0$

(Q) The capacitance between $S_1$ and $S_4$, with $S_2$ shorted to $S_3$, is
(2) $\frac{C_0}{2}$

(R) The capacitance between $S_1$ and $S_3$, with $S_2$ shorted to $S_4$, is
(3) $\frac{C_0}{3}$

(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) $\frac{2C_0}{3}$

(5) $2C_0$

Accepted Answer

Answer

$\mathrm{P} \rightarrow 3 ; \mathrm{Q} \rightarrow 2 ; \mathrm{R} \rightarrow 4 ; \mathrm{S} \rightarrow 5$

Answer

$\mathrm{P} \rightarrow 2 ; \mathrm{Q} \rightarrow 3 ; \mathrm{R} \rightarrow 2 ; \mathrm{S} \rightarrow 1$

Answer

$\mathrm{P} \rightarrow 3 ; \mathrm{Q} \rightarrow 2 ; \mathrm{R} \rightarrow 4 ; \mathrm{S} \rightarrow 1$

Answer

$\mathrm{P} \rightarrow 3 ; \mathrm{Q} \rightarrow 2 ; \mathrm{R} \rightarrow 2 ; \mathrm{S} \rightarrow 5$

Electrostats & Capacitance

Choose the correct answer: