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Physics-

General

Easy

Question

The equivalent capacitance of the combination of three capacitors, each of capacitance C shown in figure between points A and B is

$\frac{C}{2}$
$\frac{3 C}{2}$
$\frac{1}{3 C}$
2C

The correct answer is: 2C

In the arrangement shown both plates of capacitors $C subscript 3 end subscript$ are joined to point $B.$ Hence, it does not act as a capacitor and is superfluous. Now $C subscript 1 end subscript$ and $C subscript 2 end subscript$ are in parallel, hence $C subscript A B end subscript equals C subscript 1 end subscript plus C subscript 2 end subscript equals C plus C equals 2 C$

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