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Calculate the equivalent capacitance of two capacitors C1 = 4 μF and C2 = 2 μF connected in series.

Physics

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Step 1: Calculate the equivalent capacitance of the capacitors when connected in series.
Given capacitances are C1=4 μFC_1 = 4 \, \mu\text{F} and C2=2 μFC_2 = 2 \, \mu\text{F}.
For capacitors in series, the equivalent capacitance CeqC_{eq} is:

1Ceq=1C1+1C2\frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2} 1Ceq=14 μF+12 μF=1+24 μF=34 μF\frac{1}{C_{eq}} = \frac{1}{4 \, \mu\text{F}} + \frac{1}{2 \, \mu\text{F}} = \frac{1+2}{4 \, \mu\text{F}} = \frac{3}{4 \, \mu\text{F}}
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