First slide

Capacitance

Question

What is effective capacitance between points X and Y ?

Easy

A

$24 μF$
B

$18 μF$
C

$12 μF$
D

$6 μF$

Solution

This circuit is redrawn and is shown in fig. This is a case of balanced Wheatstone bridge. Capacitance C' between ABD

$\frac{1}{C^{'}} = \frac{1}{C_{1}} + \frac{1}{C_{2}} = \frac{1}{3} or C^{'} = 3 μF$
Capacitance C" between ACD
$\frac{1}{C^{''}} = \frac{1}{C_{3}} + \frac{1}{C_{4}} = \frac{1}{3} or C^{''} = 3 μF$
Capacitance between X and Y
$C = C^{'} + C^{''} = 3 μF + 3 μF = 6 μF$ .

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