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Question: Three capacitors each of capacity \(4\mu F\) are to be connected in such a way that the effective ca...

Three capacitors each of capacity 4μF4\mu F are to be connected in such a way that the effective capacitance is 6μF6\mu F. This can be done by.

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(a) Connecting them in series

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(b) Connecting them in parallel

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(c) Connecting two in series and one in parallel

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(d) Connecting two in parallel and one in series

Explanation

Solution

(c): To get equivalent capacitance 6μF,6\mu F, two 4μF4\mu F capacitors are to be connected in series and third one is connected in parallel.

From figure equivalent capacitance,

Ceq=4×44+4+4=2+4=6μFC_{eq} = \frac{4 \times 4}{4 + 4} + 4 = 2 + 4 = 6\mu F