Four identical metal plates are arranged in air at equal distance d from each other. The area of each plate is `A`. A batery of emf V is connected across plates 1 distribution and find the capacitance of the system between points `1` and `2` if the other two plates are connected by a conducting wire as shown in.
.

Answer

i. `2/(3)epsilon_(0)A/d` ii. `3/(2)epsilon_(0)A/d` iii. `5/3epsilon_(0)A/d` vi. `3epsilon_(0)A/d`.

Explanation

a.
Equivalent circuit

`C_(eq) = (2C)/(3) = (2epsi_(0)A)/(3d)`
b.
Equivalent circuit

`C_(eq) = (3)/(2)C=(3epsi_(0)A)/(2d)`
c.
Equivalent circuit

`C_(eq) = (5C)/(2) = (5)/(3O)(epsi_(0)A)/(d)`
d.
`C_(eq) = 3C= (3epsi_(0)A)/(d)`