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Question

From a supply of identical capacitors rated $$8\ \mu F, 250\ V$$, the minimum number of capacitors required to form a composite $$16\ \mu F, 1000\ V$$ capacitor is:


A
2
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B
4
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C
16
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D
32
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Solution

The correct option is C $$32$$
The required voltage is 1000v and the capacitors are parallel as 250v.
So number of capacitors required will be 4  i.e$$ 250 \times 4 = 1000$$ in series.
Now example of four capacitor in series will be equal $$2 \mu f$$ (micro farade) but the equivalent capacitance required is given as $$16\mu f$$ so there must be 8 series of parallel arrange capacitors each of capacitor 2 micro farad hence total number of capacitor $$= 4 \times 8 = 32$$

Hence option (D) is corrct

Physics

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