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JEE Main 2025 (4 Apr, Shift 2) · Dielectrics

Dielectrics question from JEE Main 2025 (4 Apr, Shift 2)

Q36JEE Main 2025 · 4 APR · SHIFT 2Medium

Dielectrics

Three parallel plate capacitors $C_1, C_2$ and $C_3$ each of capacitance $5\ \mu\text{F}$ 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:

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Answer: (a)

$C_1$ with dielectric: $C_1 = 4 \times 5 = 20\ \mu\text{F}$ .
$C_1$ and $C_2$ in series: $\frac{20 \times 5}{20 + 5} = 4\ \mu\text{F}$ .
This branch is in parallel with $C_3$ : $C_{AB} = 4 + 5 = 9\ \mu\text{F}$ .
So the answer is (a) $9\ \mu\text{F}$ .

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