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Question

Consider the figure. Each capacitor has capacitance C.
The equivalent capacitance between 4 and 5 is

A
(3C4)
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B
(3C2)
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C
(3C5)
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D
(5C4)
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Solution

The correct option is B (3C2)
As we need to find the equivalent capacitence between points 4 and 5 so, let us first connect these points to a power source or battery.Now from the figure we can see that three points (1, 2, 3) are at equal potential or they are bisymmetric points.
Since these are equi-potential points let us denote potential at these points as x.
Now, in between equi-potential points we know that there is no transfer of charges so we can simply elminate capacitors between points (1,2); (2,3) and (1;3).
Now the only potential points in the circuit are 4,x and 5.
The simpler circuit diagram of this can be shown now as

​​​​​ The equivalent capacitance between point 4 and 5 will be
1Ceq=13C+13C
Ceq = 3C2

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