1
Question
Consider the figure. Each capacitor has capacitance C.
The equivalent capacitance between 4 and 5 is
Consider the figure. Each capacitor has capacitance C.
The equivalent capacitance between 4 and 5 is
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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
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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