The configuration of the metal plate can be shown in figure. The area of each plate is A. The distance between each of the plates is d. Then the capacitance between A and B is
A
32Aϵ0d
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B
Aϵ0d
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C
52Aϵ0d
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D
None of the above
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Solution
The correct option is A32Aϵ0d The equivalent diagram of these three capacitors can be shown asThe more simplified diagram can be shown as
Then, the equivalent capacitance of C1 and C3 can be given as, Ceq=C1C3C1+C3
Now the equivalent diagram will be, Cnet=C2+C1C3C1+C3 Cnet=C+CCC+C=3C2=3ϵ0A2d
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