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

`Q_(1) = Q_(2) + Q_(3)` because in series combination charge same on both condenser and `V = V_(1) + V_(2)` because in parallel combination `V_(2) = V_(3)`.
Hence `V = V_(1) + V_(2)`