Free physics question bank
capacitor with dielectric questions with solutions
Practice Capacitor for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.
Showing 1–10 of 21 questions
- NumericmediumCapacitor
A capacitor has capacitance 5 μF 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 _____ μF.
JEE Mains25 January 2023Shift 2Evening Shift
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A capacitor of 10 μF capacitance whose plates are separated by 10 mm through air and each plate has area 4 cm² is now filled equally with two dielectric media of K₁ = 2, K₂ = 3 respectively as shown in figure. If new force between the plates is 8 N. The supply voltage is _____ V.

JEE Mains 2024 06 Apr Evening Shift
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The space between the plates of a parallel-plate capacitor of capacitance C (without any dielectric) is now filled with three dielectric slabs of dielectric constants K₁ = 2, K₂ = 3, and K₃ = 5 (as shown in the figure). If new capacitance is nC/3 then the value of n is _______.

JEE Mains 202623 January Morning Shift
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Identify the correct statements :
A. Effective capacitance of a series combination of capacitors is always smaller than the smallest capacitance of the capacitor in the combination.
B. When a dielectric medium is placed between the charged plates of a capacitor, displacement of charges cannot occur due to insulation property of dielectric.
C. Increasing of area of capacitor plate or decreasing of thickness of dielectric is an alternate method to increase the capacitance.
D. For a point charge, concentric spherical shells centered at the location of the charge are equipotential surfaces.
Choose the correct answer from the options given below.
Options
JEE Mains 202628 January Evening Shift
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Three parallel plate capacitors each with area A and separation d are filled with two dielectric (k₁ and k₂) in the following fashion. Which of the following is true? (k₁ > k₂)

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JEE Mains 202624 January Evening Shift
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A charged capacitor is disconnected from the battery. A dielectric slab of dielectric constant K is then inserted completely between the plates. If the initial charge is Q₁ and the final charge is Q₂, find Q₁/Q₂.
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JEE Main 2025 (Online) 22 jan morning Shift
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Find the equivalent capacitance for the capacitor arrangement shown in the original question figure. The three dielectric constants are K₁, K₂ and K₃; plate area is A and separation is d.

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JEE Main 2025 (Online) 22 jan morning Shift
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A parallel plate capacitor of capacitance 12.5 pF is charged by a battery connected between its plates to potential difference of 12.0 V. The battery is now disconnected and a dielectric slab (εᵣ = 6) is inserted between the plates. The change in its potential energy after inserting the dielectric slab is ______ × 10⁻¹² J.
JEE Mains 2024 04 Apr Evening Shift
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A capacitor has air as dielectric medium and two conducting plates of area 12 cm² and they are 0.6 cm apart. When a slab of dielectric having area 12 cm² and 0.6 cm thickness is inserted between the plates, one of the conducting plates has to be moved by 0.2 cm to keep the capacitance same as in previous case. The dielectric constant of the slab is: (Given ε₀ = 8.834 × 10⁻¹² F/m)
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JEE Mains 2024 08 Apr Evening Shift
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A parallel-plate capacitor has plate area 4 cm² and separation d = 1.77 mm. The space is filled by two dielectric layers of equal thickness d/2 with dielectric constants 5 and 3, as shown in the original figure. This capacitor is connected in parallel with a 7.5 pF capacitor. Given ε₀ = 8.85×10⁻¹² F/m, find the total equivalent capacitance in pF.

JEE Mains 2025 8 April Evening Shift (Shift 2)
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