Q. 275.0( 3 Votes )

Find the capacitance of the combination shown in figure between A and B.



Answer :

The question figure is a simple arrangement of parallel andseries configurations.


Let us number each capacitor as C1, C2,… and C8 for simplification.



In the figure 5th and 1st capacitors are in series, hence the effective capacitance, C51 is



Or,




Now, C51 and C6 are in parallel,



Hence the effective capacitance, C61 is,



On substituting,



Now, C61 and C2 are in series, hence the effective capacitance, C62 is,



Or,




This above pattern repeats for 2 more times. Hence at the end, the effective capacitance, Ceff will be 1μF,


So,


The capacitance of the combination is hence 1μF.


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RELATED QUESTIONS :

In the circuit shown in Fig. 2.4. initially key K1 is closed and key K2 is open. Then K1 is opened and K2 is closed (order is important).

[Take Q1’ and Q2’ as charges on C1 and C2 and V1 and V2 as voltage respectively.]



Then


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