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(A) The given arrangement consists of four parallel plates. Let the plates be numbered $1, 2, 3, 4$ from top to bottom.Based on the connections shown

Vedclass · Accepted Answer

$\frac{2{\varepsilon _0}A}{d}$

Vedclass · Answer

(A) The given arrangement consists of four parallel plates. Let the plates be numbered $1, 2, 3, 4$ from top to bottom.Based on the connections shown in the figure:- Plate $1$ and $4$ are connected to point $A$.- Plate $2$ and $3$ are connected to point $B$.This creates two capacitors in parallel between points $A$ and $B$, formed by the pairs of plates $(1, 2)$ and $(3, 4)$.The capacitance of each capacitor is $C = \frac{{\varepsilon _0}A}{d}$.Since they are in parallel, the equivalent capacitance is $C_{eq} = C + C = 2C = \frac{2{\varepsilon _0}A}{d}$.

Four plates of equal area $A$ are separated by equal distances $d$ and are arranged as shown in the figure. The equivalent capacitance between points $A$ and $B$ is

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