Capacitors

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26 of 180

Question 26 of 180

Three parallel plate capacitors C1,C2\mathrm{C}_1, \mathrm{C}_2 and C3\mathrm{C}_3 each of capacitance 5μ F5 \mu \mathrm{~F} are connected as shown in figure. The effective capacitance between points A and B, when the space between the parallel plates of C1C_1 capacitor is filled with a dielectric medium having dielectric constant of 4, is :

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Answer: (C) 9μ F9 \mu \mathrm{~F}

After dielectric
$\begin{aligned}

& \mathrm{C}_1=4 \mathrm{C} \\

& \mathrm{C}_1=4 \times 5=20 \mu \mathrm{~F} \\

& \mathrm{C}_2=\mathrm{C}_3=5 \mu \mathrm{~F}

\end{aligned}$

C1&C2\mathrm{C}_1 \& \mathrm{C}_2 are in series which is parallel to C3\mathrm{C}_3 So
$\begin{aligned}

& C_{c q}=\frac{C_1 C_2}{C_1+C_2}+C_3 \Rightarrow \frac{20 \times 5}{20+5}+5 \\

& =4+5=9 \mu \mathrm{~F}

\end{aligned}$

Correct Option (3)

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