A capacitor has air as dielectric medium and two conducting plates of… | JEE Main 2024 (8 Apr, Shift 2)

Q47JEE Main 2024 · 8 APR · SHIFT 2Difficult

Dielectrics

A capacitor has air as dielectric medium and two conducting plates of area $12\text{ cm}^2$ and they are $0.6\text{ cm}$ apart. When a slab of dielectric having area $12\text{ cm}^2$ and $0.6\text{ cm}$ thickness is inserted between the plates, one of the conducting plates has to be moved by $0.2\text{ cm}$ to keep the capacitance same as in previous case. The dielectric constant of the slab is: (Given $\epsilon_0 = 8.834 \times 10^{-12}\text{ F/m}$ )

Show answer and solution

Answer: (a)

Slab of thickness $t = 0.6$ cm in gap $d'$ : $C = \frac{\epsilon_0 A}{d' - t + t/K}$ .
New gap $d' = 0.6 + 0.2 = 0.8$ cm; same $C$ needs $0.2 + \frac{0.6}{K} = 0.6$ .
$\frac{0.6}{K} = 0.4 \Rightarrow K = 1.5$
So the answer is (a) 1.50.

Report a mistake

More questions on Dielectrics

A capacitor of 10 capacitance whose plates are separated by 10 mm through air and each…JEE Main 2024 (6 Apr, Shift 2)
In a parallel plate capacitor with air between the plates, the distance d between the…MHT CET 2023 (13 May, Shift 2)
A parallel plate capacitor with air between the plates has a capacitance of 15pF. The…JEE Main 2023 (24 Jan, Shift 2)
A parallel plate capacitor is charged by a battery and battery remains connected. The…MHT CET 2023 (11 May, Shift 2)
The potential energy of charged parallel plate capacitor is v₀. If a slab of dielectric…MHT CET 2023 (9 May, Shift 1)
The distance between two plates of a capacitor is d and its capacitance is C₁, when air…JEE Main 2023 (10 Apr, Shift 2)
A parallel plate capacitor has plate area 40 cm 2 and plates separation 2 mm. The space…JEE Main 2023 (25 Jan, Shift 1)
A capacitor has capacitance 5 μ F when its parallel plates are separated by air medium of…JEE Main 2023 (25 Jan, Shift 2)

Dielectrics question from JEE Main 2024 (8 Apr, Shift 2)

More questions on Dielectrics