Identical metal plates are located in air at equal distance d from one another. The area of each plate is equl to `A` Evaluate the capacitance of the system between P and `Q` if the plates are interconnected as shown in.
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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)`