In the following circuit the resultant capacitance between A and B is 1 μF. Then value of C is
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a
3211μF
b
1132μF
c
2332μF
d
3223μF
answer is D.
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Detailed Solution
12μF and 6μF are in series and again are in parallel with4μF therefore resultant of these three will be =12×612+6+4=4+4=8μFThis equivalent system is in series with 1μF Its equivalent capacitance=8×18+1=89μF →(1) Equivalent of 8μF , 2μF and 2μF =4×84+8=83μF →(2)1 and 2 are in parallel and are in series with C∴89+83=329 Ceq=1=329×C329+C ⇒C=3223μF