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Q.

Seven capacitors each of capacity  2μF are to be so connected to have a total capacity 1011μF . Which will be the necessary figure as shown

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a

 

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b

 

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c

 

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d

 

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answer is A.

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Detailed Solution

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Let say each capacitor has C capacitance.

There are five parallel capacitors and their equivalent capacitance is 5C

and other two are in series with this combination C/2.

Finally equivalent capacitance  of 5C and C/2 which are in series is Ceq=C1C2C1+C2=5C×C/2/5C+C/2=5C/11 , 

given C=2μF  then  Ceq=5(2)11=1011μF.

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