For the arrangement of capacitors as shown in the circuit, the effective capacitance between the points and
is (capacitance of each capacitor is
)
Text Solution
Verified by ExpertsA
(i)
The given circuit can be redrawn as shown in figure (ii).
As
Therefore, the given
(ii)
circuit is a balanced
Wheatstone bridge and the capacitance in arm CD is ineffective.
Thus, it reduces to the equivalent circuit as shown in figure (iii).
(iii)
As, and
are in series in the upper branch, so their equivalent capacitance
is
Similarly, and
are in series in the lower branch, so their equivalent capacitance
is
And the corresponding equivalent circuit is shown in figure (iv).
Since and
are in parallel, the effective
(iv) capacitance between the points A and B is
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