Three parallel plate capacitors and each of capacitance 5 F are connceted as shown in figure. The effective capacitance between points A and B, when the space between the parallel plates of capacitor is filled with a dielectric medium having dielectric

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Solution

Q.
Three parallel plate capacitors $C_{1}, C_{2}$ and $C_{3}$ each of capacitance 5 $μ$ F are connected as shown in figure. The effective capacitance between points A and B, when the space between the parallel plates of $C_{1}$ capacitor is filled with a dielectric medium having dielectric constant of 4, is [2025]

1 22.5 $μ F$

2 7.5 $μ F$

3 9 $μ F$

4 30 $μ F$

Ans.
(3)

$C_{eq} = (\frac{K C \cdot C}{K C + C}) + C = (\frac{K}{K + 1}) C + C$

$\Rightarrow C_{eq} = \frac{4}{5} \times 5 + 5 = 9 μ F$

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