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Question

Physics Question on Capacitors and Capacitance

The following arrangement consists of five identical metal plates marked 11, 22, 33, 44 and 55 parallel to each other. Area of each plates is AA and separation between the successive plates is dd. The capacitance between PP and QQ is

A

5ε0Ad5 \frac{\varepsilon_{0}A}{d}

B

73ε0Ad\frac{7}{3} \frac{\varepsilon_{0}A}{d}

C

53ε0Ad\frac{5}{3} \frac{\varepsilon_{0}A}{d}

D

43ε0Ad\frac{4}{3} \frac{\varepsilon_{0}A}{d}

Answer

53ε0Ad\frac{5}{3} \frac{\varepsilon_{0}A}{d}

Explanation

Solution

The arrangement will work as a system of capacitors shown in figures (a) and (b) below