A capacitor has capacitance 5 μ F when its parallel plates are separated by air medium of thickness d. A slab of material of dielectric constant 1.5 having area equal to that of plates but thickness d/2 is inserted between the plates. Capacitance of the capacitor in the presence of slab will be __________ μ F. Numerical answer type. Work it out, then open the answer.

Answer: 6. Slab of thickness d/2: C' = (2KC)/(K+1). C' = (2 × 1.5 × 5)/(2.5) = 6. So the capacitance is 6.

A capacitor has capacitance 5 μ F when its parallel plates are… | JEE Main 2023 (25 Jan, Shift 2)

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Dielectrics

A capacitor has capacitance 5 $\mu$ F when its parallel plates are separated by air medium of thickness d. A slab of material of dielectric constant 1.5 having area equal to that of plates but thickness $\frac{d}{2}$ is inserted between the plates. Capacitance of the capacitor in the presence of slab will be __________ $\mu$ F.

Numerical answer type. Work it out, then open the answer.

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Answer: 6

Slab of thickness $\frac{d}{2}$ : $C' = \frac{2KC}{K+1}$ .
$C' = \frac{2 \times 1.5 \times 5}{2.5} = 6\ \mu\text{F}$ .
So the capacitance is $6\ \mu\text{F}$ .

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