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Capacitance and Dielectrics for JEE: 65 solved questions

Real JEE paper questions on capacitance and dielectrics, part of electric potential and capacitance. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2002 to 2026. No sign-in needed to read them.

What this topic asks

• Capacitance of a conductor and a capacitor — 21 questions
• Dielectric slab — 20 questions
• Compound and non-uniform dielectrics — 15 questions
• Polarisation and bound charge — 6 questions
• Conducting slab inserted — 3 questions

All 65 questions with solutions

• Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Ass… JEE Main 2nd April 2nd Shift 2025
• A parallel plate air capacitor has a capacitance C. When it is half filled as shown in the figure with a diel… JEE Main 2nd April 1st Shift 2026
• Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Asserti… JEE Main 4th April 2nd Shift 2026
• A parallel plate capacitor has capacitance C when there is vacuum between the plates. A sheet of thickness on… JEE Main 21st Jan 1st Shift 2026
• A parallel plate capacitor with plate separation 5 mm is charged by a battery. On introducing a mica sheet of… JEE Main 23rd Jan 2nd Shift 2026
• Three parallel plate capacitors, each with plate area A and separation d, are filled with two dielectrics k₁… JEE Main 24th Jan 2nd Shift 2026
• Identify the correct statements. A. The effective capacitance of a series combination of capacitors is always… JEE Main 28th Jan 2nd Shift 2026
• A parallel plate capacitor of plate area A and plate separation d is filled equally with two dielectrics of c… JEE Main 3rd April 1st Shift 2025
• Which one of the following is the correct dimensional formula for the capacitance, whose unit is the farad F?… JEE Main 22nd Jan 2nd Shift 2025
• A parallel plate capacitor is made with two rectangular plates, each of length l=3 cm and breadth b=1 cm, the… JEE Main 24th Jan 1st Shift 2025
• A capacitor has air as the dielectric medium and two conducting plates of area 12 cm² placed 0.6 cm apart. Wh… JEE Main 8th April 2nd Shift 2024
• A capacitor is made of a flat plate of area A and a second plate having a stair-like structure, as shown in t… JEE Main 9th April 1st Shift 2024
• The distance between the two plates of a capacitor is d and its capacitance is C₁ when air is the medium betw… JEE Main 10th April 2nd Shift 2023
• A capacitor of capacitance C is charged to a potential V. The flux of the electric field through a closed sur… JEE Main 11th April 2nd Shift 2023
• Given below are two statements, one labelled Assertion (A) and the other labelled Reason (R). Assertion (A):… JEE Main 1st Feb 2nd Shift 2023
• A parallel plate capacitor has plate area 40 cm² and plate separation 2 mm. The space between the plates is p… JEE Main 25th Jan 1st Shift 2023
• A condenser of capacitance 2 μ F is charged steadily from 0 to 5 C. Which of the following graphs correctly r… JEE Main 25th July 1st Shift 2022
• The capacitance of an isolated conducting sphere of radius R₁ becomes n times when it is enclosed by a concen… JEE Main 25th July 2nd Shift 2022
• Two capacitors, each of capacitance 40 μ F, are connected in series. The space inside one of them is then fil… JEE Main 28th July 1st Shift 2022
• A slab of dielectric constant K has the same cross-sectional area as the plates of a parallel plate capacitor… JEE Main 28th July 2nd Shift 2022
• Two identical thin metal plates carry charges q₁ and q₂ respectively, with q₁>q₂. The plates are brought clos… JEE Main 29th July 2nd Shift 2022
• A parallel plate capacitor is formed by two plates each of area 30π cm², separated by 1 mm. A material of die… JEE Main 24th June 1st Shift 2022
• Two metallic plates form a parallel plate capacitor. The distance between the plates is d. A metal sheet of t… JEE Main 25th June 2nd Shift 2022
• A parallel plate capacitor with plate area A and plate separation d=2 m has a capacitance of 4 μ F. The new c… JEE Main 26th June 2nd Shift 2022
• C₀ is the capacitance of a parallel plate capacitor with air as the medium between the plates (Fig. 1). If ha… JEE Main 30th June 1st Shift 2022
• A parallel plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of die… JEE Main 26th Aug 2nd Shift 2021
• A parallel plate capacitor with plate area A and distance of separation d is filled with a dielectric. What i… JEE Main 25th July 1st Shift 2021
• If q_f is the free charge on the capacitor plates and q_b is the bound charge on the dielectric slab of diele… JEE Main 25th July 2nd Shift 2021
• Two capacitors of capacitances 2C and C are joined in parallel and charged up to a potential difference V. Th… JEE Main 27th July 1st Shift 2021
• In the figure a capacitor is formed by placing a compound dielectric between the plates of a parallel plate c… JEE Main 27th July 1st Shift 2021
• To change the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant K… JEE Main 16th March 1st Shift 2021
• A parallel plate capacitor has plates of length l, width w and plate separation d. It is connected to a batte… JEE Main 5th Sept 2nd Shift 2020
• A parallel plate capacitor has plates of area A separated by a distance d. It is filled with a dielectric who… JEE Main 7th Jan 1st Shift 2020
• A capacitor is made of two square plates each of side a making a very small angle α between them: the lower p… JEE Main 8th Jan 2nd Shift 2020
• The voltage rating of a parallel plate capacitor is 500 V. Its dielectric can withstand a maximum electric fi… JEE Main 8th April 1st Shift 2019
• A parallel plate capacitor has 1 μ F capacitance. One of its two plates is given +2 μC charge and the other p… JEE Main 8th April 2nd Shift 2019
• Two identical parallel plate capacitors, of capacitance C each, have plates of area A separated by a distance… JEE Main 12th April 1st Shift 2019
• A parallel plate capacitor is made of two square plates of side a, separated by a distance d with d a. The lo… JEE Main 9th Jan 1st Shift 2019
• A parallel plate capacitor with square plates of side L is filled with four dielectrics of dielectric constan… JEE Main 9th Jan 2nd Shift 2019
• A parallel plate capacitor is of area 6 cm² and separation 3 mm. The gap is filled with three dielectric slab… JEE Main 10th Jan 1st Shift 2019
• A parallel plate capacitor has plates of area 1 m² each at a separation of 0.1 m. If the electric field betwe… JEE Main 12th Jan 2nd Shift 2019
• A parallel plate capacitor of capacitance 90 pF is connected to a battery of emf 20 V. If a dielectric materi… JEE Main 2018
• A parallel plate capacitor with plate area 200 cm² and separation between the plates 1.5 cm is connected acro… JEE Main Online 2018
• A capacitance of 2 μ F is required in an electrical circuit across a potential difference of 1.0 kV. A large… JEE Main 2017
• The energy stored in the electric field produced by a metal sphere is 4.5 J. If the sphere contains 4 μC char… JEE Main Online 2017
• A combination of parallel plate capacitors is maintained at a certain potential difference. The combination i… JEE Main Online 2017
• In the given circuit a capacitor C is in series with the parallel pair 1 μ F and 2 μ F, the whole combination… JEE Main 2015
• A parallel plate capacitor is made of two circular plates separated by a distance of 5 mm and with a dielectr… JEE Main 2014
• A parallel plate capacitor with air between the plates has a capacitance of 9 pF. The separation between its… JEE Main 2008
• A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capaci… JEE Main 2003
• The capacitance (in farad) of a spherical conductor of radius 1 m is JEE Main 2002
• The space between the plates of a parallel plate capacitor of capacitance C (without any dielectric) is now f… JEE Main 23rd Jan 1st Shift 2026
• A parallel plate capacitor has charge 5×10⁻⁶ C. A dielectric slab is inserted between the plates and almost f… JEE Main 7th April 2nd Shift 2025
• The space between the plates of a parallel plate capacitor of plate area 4 cm² and separation d=1.77 mm is fi… JEE Main 8th April 2nd Shift 2025
• A parallel plate capacitor consisting of two circular plates of radius 10 cm is being charged by a constant c… JEE Main 29th Jan 2nd Shift 2025
• A capacitor of 10 μ F capacitance, whose plates are separated by 10 mm through air and each plate having area… JEE Main 6th April 2nd Shift 2024
• A parallel plate capacitor with plate separation 5 mm is charged up by a battery. It is found that on introdu… JEE Main 31st Jan 1st Shift 2024
• A parallel plate capacitor with plate area A and plate separation d is filled with a dielectric material of d… JEE Main 6th April 1st Shift 2023
• A parallel plate capacitor with air between the plates has a capacitance of 15 pF. The separation between the… JEE Main 24th Jan 2nd Shift 2023
• A capacitor has capacitance 5 μ F when its parallel plates are separated by an air medium of thickness d. A s… JEE Main 25th Jan 2nd Shift 2023
• A composite parallel plate capacitor is made up of two different dielectric materials of different thicknesse… JEE Main 26th July 1st Shift 2022
• A parallel plate capacitor with width 4 cm, length 8 cm and separation between the plates of 4 mm is connecte… JEE Main 27th July 2nd Shift 2022
• A parallel plate capacitor is made up of a stair-like structure with a plate area A of each stair, the steps… JEE Main 27th June 2nd Shift 2022
• In a parallel plate capacitor set-up, the plate area is 2 m² and the plates are separated by 1 m. The space b… JEE Main 16th March 2nd Shift 2021
• A parallel plate capacitor has plate area 100 m² and plate separation of 10 m. The space between the plates i… JEE Main 18th March 1st Shift 2021