Question 473: Electrostatics & Capacitance

Question

When three capacitors of equal capacities are connected in parallel and one of the same capacity, capacitor is connected in series with the combination. The resultant capacity is $4.5 \mu \mathrm{~F}$. The capacity of each capacitor is

Accepted Answer

$$\begin{aligned}
& C_{e q}=\frac{3 C 	imes C}{3 C+C}=\frac{3 C^2}{4 C} \
& C_{e q}=\frac{3 C}{4} \
	herefore \quad & C=\frac{4 C_{e q}}{3}=\frac{4 	imes 4.5}{3}=6 \mu \mathrm{~F}
\end{aligned}$$

Answer

$5 \mu \mathrm{~F}$

Answer

$7 \mu \mathrm{~F}$

Answer

$6 \mu \mathrm{~F}$

Answer

$8 \mu \mathrm{~F}$

Electrostatics & Capacitance

When three capacitors of equal capacities are connected in parallel and one of the same capacity, capacitor is connected in series with the combination. The resultant capacity is 4.5 \mu \mathrm{~F}. The capacity of each capacitor is

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