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Question

The equivalent capacitance in between points A and B in the following combination is 5x μF. Find the value of x.
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Solution
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The equivalent circuit for the given network is shown in figure below.
For the parallel branch the total capacitance Cp=10+5+15=30μF
CAB=30Cp30+Cp=30×3030+30=15μF

As given, 5x=15
x=3

226483_199419_ans.png

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