Four equal capacitors, each of capacity `C`, are arranged as shown. The effective capacitance between `A` and `B` is

Options

A. `(5)/(8) C`
B. `(3)/(5) C`
C. `(5)/(3) C`
D. `C`

Answer

C

Explanation

In fig, `C_(1) = C_(2) = C_(3) = C_(4) = C`.

As `C_(1), C_(2)` are in parallel, therefore
`C_(p) = C_(1) + C_(2) = 2C`
As `C_(3)` and `C_(p)` are in parallel,
`:. C_(p) = C_(s) + C_(4) = (2C)/(3) + C = (5C)/(3)`