A capacitance of `2.0muF` is required in an electrical circuit across a potential differences of 1.0 kV. A large number of `1muF` capacitors are available which can withstand a potential differences of not more than 300V. The minimum number of capacitors required to achieve this is

Options

A. 24
B. 32
C. 2
D. 16

Answer

B

Explanation

To get a capacitance of `2muF` arrangement of capacitors of capacitance `1muF` as shown in figure 8 capacitors of `1muF` in parallel with four such brancehs in series i.e. 32 such capacitors are required.
`1/(C_(eq))=1/8+1/8+1/8+1/8`
`:.C_(eq)=2muF`