To form a composite 16μF, 1000V capacitor from a supply of identical capacitors marked 8μF, 250V, we require a minimum number of capacitors
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a
40
b
32
c
8
d
2
answer is B.
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Detailed Solution
Suppose C = 8 μF , C' = 16μF and V = 250 V, V' = 1000V Suppose m rows of given capacitors are connected in parallel and each row contains n capacitors then potential difference across each capacitor V=V'n and equivalent capacitance of network C'=mCn on putting the values we get n = 4 and m = 8∴Total capacitors = n × m = 4 ×8 = 32