Five capacitors, each of capacitance value C are connected as shown in the figure. The ratio of capacitance between P and R, and the capacitance between P and Q is –
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The capacitors having same charge through them will be in series combination.
If a source is connected between points P and R, same charge will flow through two capacitors in arms PQ and QR. Similarly, same charge will flow through capacitors in arms PT, TS and SR.
So, equivalent capacitance of left side
and equivalent capacitance of right side
Now, C' and C'' will in parallel combination, hence,
Similarly, if a source is connected between points P and Q, then equivalent capacitance
Hence, the required ratio is given by
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