The capacitors, each of 4µ F are to be ...

CBSE Class 12 Physics 2023 All Sets Paper

Question : 12 of 18

Marks: +1, -0

The capacitors, each of 4µ F are to be connected in such a way that the effective capacitance of the combination is 6µ F. This can be achieved by connecting

All three in parallel
All three in series
Two of them connected in series and the combination in parallel to the third.
Two of them connected in parallel and the combination in series to the third.

Solution:

Two of them connected in series and the combination in parallel to the third.

Two connected in series

\; \frac{1}{C_1} = \; \frac{1}{4} + \; \frac{1}{4}

\; \frac{1}{C_1} = \; \frac{2}{4}

C_1 = 2\,\mu\mathrm{F}

Then one in parallel

C =

C_1

+ 4

C = 2 + 4

C = 6µ F

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