What is a parallel connection of capacitors? Obtain the formula for the effective capacitance in the parallel combination of two different capacitors.

(N/A) parallel connection of capacitors is an arrangement where the positive plates of all capacitors are connected to one common terminal and the negative plates are connected to another common terminal.
Consider two capacitors with capacitances $C_{1}$ and $C_{2}$ connected in parallel across a potential difference $V$.
In a parallel connection,the potential difference $V$ across each capacitor is the same,but the charge stored on each capacitor is different.
Let $Q_{1}$ and $Q_{2}$ be the charges on capacitors $C_{1}$ and $C_{2}$ respectively.
The total charge $Q$ supplied by the source is given by $Q = Q_{1} + Q_{2}$.
Since $Q_{1} = C_{1}V$ and $Q_{2} = C_{2}V$,we have:
$Q = C_{1}V + C_{2}V$
$Q = (C_{1} + C_{2})V$
If $C_{eq}$ is the effective (equivalent) capacitance of the combination,then $Q = C_{eq}V$.
Comparing the two equations,we get:
$C_{eq}V = (C_{1} + C_{2})V$
$C_{eq} = C_{1} + C_{2}$