## Related questions with answers

Question

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

Solution

VerifiedStep 1

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

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

$1 \ \mathrm{\mu F} + 3 \ \mathrm{\mu F} = 4 \ \mathrm{\mu F} \\$

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

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