JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance
Three parallel plate capacitors \(\mathrm{C}_1, \mathrm{C}_2\) and \(\mathrm{C}_3\) each of capacitance \(5 \mu \mathrm{~F}\) are connected as shown in figure. The effective capacitance between points A and B, when the space between the parallel plates of \(C_1\) capacitor is filled with a dielectric medium having dielectric constant of 4, is :

- A \(22.5 \mu \mathrm{~F}\)
- B \(7.5 \mu \mathrm{~F}\)
- C \(9 \mu \mathrm{~F}\)
- D \(30 \mu \mathrm{~F}\)
Answer & Solution
Correct Answer
(C) \(9 \mu \mathrm{~F}\)
Step-by-step Solution
Detailed explanation
After dielectric \(\begin{aligned} & \mathrm{C}_1=4 \mathrm{C} \\ & \mathrm{C}_1=4 \times 5=20 \mu \mathrm{~F} \\ & \mathrm{C}_2=\mathrm{C}_3=5 \mu \mathrm{~F} \end{aligned}\) \(\mathrm{C}_1 \& \mathrm{C}_2\) are in series which is parallel to \(\mathrm{C}_3\) So…
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