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The expression for the equivalent capaci...

The expression for the equivalent capacitance of the system shown in figure is (A is the cross-sectional area of one of the plates)

A

`(epsilon_(0)A)/(3d)`

B

`(3epsilon_(0)A)/(d)`

C

`(epsilon_(0)A)/(6d)`

D

`(11)/(6)((epsilon_(0)A)/(d))`

Text Solution

Verified by Experts

The three capacitors are in parallel.
`therefore` Equivalent capacitance
`C=C_(1)+C_(2)+C_(3)`
`=(epsilon_(0)A)/(d)+(epsilon_(0)A)/(2d)+(epsilon_(0)A)/(3d)`
`=(epsilon_(0)A)/(d)(1+(1)/(2)+(1)/(3))=(11)/(6)((epsilon_(0)A)/(d))`
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