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

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The capacitors, each of 4 µF are to be connected in such a way that the effective capacitance of the combination is 6 µF. This can be achieved by connecting two of them connected in series and the combination in parallel to the third. Explanation: When the capacitors are connected in parallel the equivalent capacitance is given by C_{eq} = C_1 + C_2 + C_3 in series `1/C_{eq} = 1/C_1 + 1/C_2 + 1/C_3 here C_1 = C_2 = C_3 = 4muF C_{eq} = 6muF` So, Ceq = 6µF can only be get if two capacitors are connected in series with the third one in parallel as shown. `C_{eq} = (4 xx 4)/(4 xx 4) + 4` = 2 + 4 = 6µF [Solution diagram: 357451_solution_1.png]

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