In an adjoining figure are shown three capacitors `C_(1),C_(2)` and `C_(3)` joined to a battrey.The coorect condition will be (Symbols have their usual meanings)

Options

A. `Q_(1)=Q_(2)=Q_(3) and V_(1)=V_(2)=V_(3)`
B. `Q_(1)=Q_(2)+Q_(3) and V=V_(1)+V_(2)+V_(3)`
C. `Q_(1)=Q_(2)+Q_(3) and V=V_(1)+V_(2)`
D. `Q_(2)=Q_(3) and V_(2)=V_(3)`

Answer

C

Explanation

At junction A, `Q_(1)` will be divided into `Q_(2) and Q_(3)`. Hence `Q_(1)=Q_(2)+Q_(3)`. `C_(2) and C_(3)` are in parallel, so potential on them will be the same, i.e., `V_(2)=V_(3)`.
V will be divided into `V_(1) and V_(2)` ( or `V_(3)`), Hence `V=V_(1)+V_(2) or V=V_(1)+V_(3)`.