In the arrangement of capacitors shown in figure, each...

In the arrangement of capacitors shown in figure, each capacitor is of $9 \mu \mathrm{F}$, then the equivalent capacitance between the points $\mathrm{A}$ and $\mathrm{B}$ is
(A) $18 \mu \mathrm{F}$
(B) $9 \mu \mathrm{F}$
(C) $15 \mu \mathrm{F}$
(D) $4.5 \mathrm{Mf}$

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Key Concepts

Equivalent Capacitance

Equivalent capacitance is a measure of the overall ability of a network of capacitors to store electrical charge when connected between two points. It simplifies complex circuits by allowing them to be replaced with a single capacitor that has the same effect on the circuit, making analysis of circuit behavior easier.

Series Combination

In a series arrangement, capacitors are connected end-to-end, and the same charge passes through each capacitor. The reciprocal of the total equivalent capacitance is equal to the sum of the reciprocals of the individual capacitances. This results in an equivalent capacitance that is always smaller than any individual capacitor in the series.

Parallel Combination

In a parallel arrangement, capacitors are connected so that each one is directly connected to the same two points in the circuit. The voltage across each capacitor is the same, and the equivalent capacitance is found by simply adding the capacitances together, resulting in a total capacitance that is larger than any individual capacitance in the network.

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