Question

Given a 1-, 3-, and 4-μ\muF capacitor, can they be interconnected to obtain an equivalent 2-μ\muF capacitor?

Solution

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If we connect our capacitors as follows, we get an equivalent 2 μF capacitor.\text{If we connect our capacitors as follows, we get an equivalent 2 $\mu$F capacitor.}

μF in parallel with 3 μF makes:\text{1 $\mu$F in parallel with 3 $\mu$F makes:}

1 μF+3 μF=4 μF1 \ \mathrm{\mu F} + 3 \ \mathrm{\mu F} = 4 \ \mathrm{\mu F} \\

\text{4 μ\muF in series with 4 μ\muF makes:}$$\dfrac{1}{\dfrac{1}{4 \ \mathrm{\mu F}} + \dfrac{1}{4 \ \mathrm{\mu F}}}$ = 2 \ $$\mathrm{\mu F}$

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