In three capacitors `C_(1),C_(2)`, and `C_(3)`, are joined to a battery, With symbols having their usual meaning, the correct conditions will be
.

Options

A. `Q_(1)=Q_(2)=Q_(3)` and
`V_(1)=V_(2)=V_(3)=V`
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 potentian on them will be same, i.e. `V_(2)=V_(3)`.
V will be divided into `V_(2)` and `V_(2)`or `V_(3)`.
Hence, `V=V_(1)+V_(2)` or `V_(2)+V_(3)`.