The capacity between the point `A` and `B` in the adjoining circuit will be.
.

Options

A. `(2C_(1)C_(2)+C_(3)(C_(1)+C_(2)))/(C_(1)+C_(2)+2C_(3))`
B. `(C_(1)C_(2)+C_(2)C_(3)+C_(3)C_(1))/(C_(1)+C_(2)+C_(3))`
C. `(C_(1)(C_(2)+C_(3))+C_(2)(C_(1)+C_(3)))/(C_(1)+C_(2)+3C_(3))`
D. `(C_(1)C_(2)C_(3))/(C_(1)C_(2)+C_(2)C_(3)+C_(3)C_(1))`

Answer

A

Explanation

According to the symmetry of the circuit charges on two condensers of capacity `C_(1)` will be same and charges on condensers of capacity `C_(2)` will be same.

`(q_(2))/(C_(2))+(q_(2)-q_(1))/(C_(3))-(q_(1))/(C_(1))=0 :. (q_(2))/(q_(1))=(C_(1)(C_(2)+C_(3)))/(C_(2)(C_(1)+C_(3)))`
Capacity of whole circuit.