Question

Obtain an expression for equivalent capacitance when three capacitors C₁, C₂ and C₃ are connected in series.

Answer 1

All the capacitors are connected in series, In the fig. are shown three capacitors of capacity C₁, C₂, C₃ connected in series. The charge Q flowing through each of the capacitor is the same but potential difference across them will be different. If V₁, V₂ and V₃ are the potential difference across them, then

If C is the capacitance of the combination, then

which is the required relation.