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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Capacitors.
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Nithy (400)

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Olaaa!! Perrrfect answer. 66  [101 rates]

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somebody please help me!
 
An electrical technician requires a capacitance of 2microfarad in a circuit across a potential difference of 1KV. a large no of 1 microF capacitor are available to him each of which can withstand a potential difference of not more than 400V.
suggest a possible arrangement that requires minimum no of capacitors.
Ans:"18 . 6 parallelrows .3 in each row.

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hardcore_genius (167)

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u can solve it as-
 
as the capacitors can't withstand a p.d of not more than 400v,this implies that no. of capacitors in series  should be >=1000/400 (p.d. gets distributed in series) =2.5=3(bcoz 2.5 capacitors r impossible to get). now let there r m branches s.t there r 3 capacitors in each branch. eq.capacitance in one branch=1/3 microfarad.(series connection)
now as there r m branches so equivalent capacitance should be=
 
1/3*m=2  ( bcoz m branches r in parallel)
 
m=6.
 
So ther r 6 rows & 3 capacitors in each row&that's the answer!!!!!
 
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