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Question

Four identical rectangular plates with length, l=2 cm and breadth, b=3/2 cm are arranged as shown in the figure. The equivalent capacitance between P and R is x×102ϵ0d where d is the distance between the plates in cm. The value of x is ______.

(Round off to the nearest integer)



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Solution


The equivalent circuit can be drawn as,


Here,
C=ϵ0Ad

Equivalent capacitance between P and R is given by,

Ceq=2C×C2C+C=23C=23×ϵ0Ad

Ceq=23×ϵ0d×102×(2×32)×104
( Area of the plate = length × breadth)

Ceq=2×102×ϵ0d=x×102ϵ0d

x=2

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