Step-by-step explanation:
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The equivalent capacitance of a parallel combination of capacitors is the reciprocal of the sum of the reciprocals of the individual capacitances. Therefore, the equivalent capacitance of a 3μF capacitor paralleled with a series combination of a 4μF and 5μF capacitor is:
1 / (1/3 + 1/4 + 1/5) = 1 / (1/12 + 1/20 + 1/15) = 1 / (7/60 + 3/60 + 4/60) = 60/14 = 4.2857 μF