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

Explanation

Two capacitors is arranged as in figure is known as parallel connection.

Two capacitors of capacitance `C_(1)` and `C_(2)` is joined as shown in figure.
In this connection, the same potential difference is applied across both the capacitors but the plate charges on each capacitor are different. Hence, total charge,
`Q=Q_(1)+Q_(2)`
but `Q_(1)=C_(1)V,Q_(2)=C_(2)V`
`:. Q = C_(1)V+C_(2)V`
`:. (Q)/(V)=C_(1)+C_(2)`
But `(Q)/(V)` is the effective capacitance of two capacitors joined in parallel.
`:. =C_(1)+C_(2)`