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Question: Five identical plates of equal area A are placed parallel to and at equal distance d from each other...

Five identical plates of equal area A are placed parallel to and at equal distance d from each other as shown in figure. The effective capacity of the system between the terminals A and B is-

A

35\frac { 3 } { 5 }

B

54\frac { 5 } { 4 }

C

53\frac { 5 } { 3 } ϵoAd\frac { \epsilon _ { \mathrm { o } } \mathrm { A } } { \mathrm { d } }

D

45\frac { 4 } { 5 }

Answer

53\frac { 5 } { 3 } ϵoAd\frac { \epsilon _ { \mathrm { o } } \mathrm { A } } { \mathrm { d } }

Explanation

Solution

The capacity of each capacitor is, C0 =

From fig. it is clear that Ceq = 53\frac { 5 } { 3 } C0 = 53\frac { 5 } { 3 } ϵoAd\frac { \epsilon _ { \mathrm { o } } \mathrm { A } } { \mathrm { d } }