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
B
4
C
16
D
32

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 corrctPhysics

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