Derive an expression for the equivalent capacitance when capacitors are connected in parallel.

Explanation

When positive plates of all the capacitors are connected to one common point and the negative plates to the other common point, then the capacitors are said to be connected in parallel.
Evidently, all the capacitors are charged to same potential as they are all connnected firectly to same source of emf V. Charges on each capacitor are different and are given by
`Q_(1)=C_(1)V,Q_(2)=C_(2)V`
and `Q_(3)=C_(3)V`
As, `Q=Q_(1)+Q_(2)+Q_(3)`
or `"CV"=C_(1)V+C_(2)V+C_(3)V`
`rArr" "C=C_(1)+C_(2)+C_(3)`
For n capacitors connected in parallel,
`C=C_(1)+C_(2)+ . . . . .+C_(n)`