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Question

Find the capacitance between P and O. Each capacitor has capacitance C

A
2C
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B
3C
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C
8C
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D
6C
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Solution

The correct option is A 2C
Let us first connect the points P and O to a power source or a battery.
Now, from the diagram we can analyse that some points in the circuit are symmetric about points P and O (i.e A, B, C and D). It means these are equi-potential points. We can denote these points by x.
So, we can remove all the capacitors lying in between these points If we carefully notice there are 4 capacitors lying in between points P and x and further there are 4 capacitors lying in between x and Q.
Let us now draw the schematic diagram of the capacitors connecting points P, x and O.
The effective capacitance between points P and O will be
1Ceq=14C+14C
Ceq=2C

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