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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 23 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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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 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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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.
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JEE Mains 202628 January Evening 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 with air between the plate has a capacitance of 15pF. The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant 3.5. Then the capacitance becomes x/4 pF. The value of x is __________.
JEE Mains24 January 2023Shift 2Evening 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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A parallel-plate capacitor is half-filled with dielectric constants ε₁ and ε₂ in two different configurations shown in the original figure. In configuration 1 the two dielectric layers divide the plate separation equally; in configuration 2 they divide the plate area equally. If the corresponding capacitances are C₁ and C₂, then C₁/C₂ is:
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JEE Mains 2025 3 April Morning Shift
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A parallel plate capacitor with plate separation 5 mm is charged by a battery. On introducing a mica sheet of 2 mm and maintaining the connections of the plates with the terminals of the battery, it is found that it draws 25% more charge from the battery. The dielectric constant of mica is____.
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JEE Mains 202623 January Evening Shift
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A parallel plate capacitor with plate separation 5 mm is charged by a battery. On introducing a dielectric sheet of thickness 2 mm, while keeping the battery connected, the capacitor draws 25% more charge from the battery than before. The dielectric constant of the sheet is ____.
JEE Mains 2024 31 Jan Morning Shift
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