Four plates of the same area of cross-section are joined as shown in the figure. The distance each plate is `d`. The equivalent capacity across `A` and `B` will be

Options

A. `(3epsi_(0)A)/(d)`
B. `(epsi_(0)A)/(d)`
C. `(4epsi_(0)A)/(d)`
D. None of these

Answer

A

Explanation

It forms 3 parallel plate capacitor which are joined in parallel

`C_(P)= C_(1) + C_(2) + C_(3)`
`C_(P)= (epsi_(0)A)/(d) + (epsi_(0)A)/(d) + (epsi_(0)A)/(d) rArr C_(P)= (3 epsi_(0)A)/(d)`