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

Answer»

Solution :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)`


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