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

1. 2\varepsilon_0 A/d
2. 3\varepsilon_0 A/d
3. \varepsilon_0 A/d
4. \varepsilon_0 A/(2d)

Correct answer: 2\varepsilon_0 A/d

Solution

In a four-plate arrangement with alternate plates connected, the three gaps between adjacent plates each act as identical capacitors. The effective combination gives an equivalent capacitance of 2\varepsilon_0 A/d for the shown configuration.

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