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Capacitor Circuits and Energy for JEE: 75 solved questions

Real JEE paper questions on capacitor circuits and energy, 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

• Redistribution of charge — 24 questions
• Capacitor networks — 17 questions
• Series and parallel combinations — 13 questions
• Battery connected or removed — 12 questions
• Energy stored and energy density — 9 questions

All 75 questions with solutions

• A parallel plate air capacitor is connected to a battery. The plates are pulled apart at a uniform speed v. I… JEE Main 4th April 1st Shift 2026
• From the circuit given below, the capacitance between the terminals A and B is μ F. Take C₁=C₂=C₃=1 μ F and C… JEE Main 4th April 2nd Shift 2026
• A sphere of capacitance 100 pF is charged to a potential of 100 V. Another identical uncharged metal sphere i… JEE Main 6th April 2nd Shift 2026
• Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second… JEE Main 3rd April 2nd Shift 2025
• Three parallel plate capacitors C₁, C₂ and C₃, each of capacitance 5 μ F, are connected between the points A… JEE Main 4th April 2nd Shift 2025
• A parallel plate capacitor of capacitance 40 μ F is connected to a 100 V power supply. The space between the… JEE Main 22nd Jan 1st Shift 2025
• Consider a parallel plate capacitor of plate area A and separation d between the plates. If E is the electric… JEE Main 24th Jan 1st Shift 2025
• A parallel plate capacitor of capacitance 1 μ F is charged to a potential difference of 20 V. The distance be… JEE Main 28th Jan 2nd Shift 2025
• A capacitor C₁=6 μ F is charged to a potential difference V₀=5 V using a 5 V battery. The battery is then rem… JEE Main 29th Jan 2nd Shift 2025
• Two identical capacitors have the same capacitance C. One of them is charged to a potential V and the other t… JEE Main 1st Feb 1st Shift 2024
• Four identical capacitors, each of capacitance C, are connected as shown in the figure: two of them lie in tw… JEE Main 10th April 1st Shift 2023
• A parallel plate capacitor of capacitance 2 F is charged to a potential V. The energy stored in it is E₁. The… JEE Main 11th April 1st Shift 2023
• Four capacitors C₁=1 μ F, C₂=2 μ F, C₃=4 μ F and C₄=3 μ F are connected in parallel across a battery of 20 V.… JEE Main 26th July 1st Shift 2022
• A source of potential difference V is connected to a combination of two identical capacitors, each of capacit… JEE Main 26th July 2nd Shift 2022
• If the charge on a capacitor is increased by 2 C, the energy stored in it increases by 44%. The original char… JEE Main 24th June 2nd Shift 2022
• Two capacitors having capacitances C₁ and C₂ respectively are connected as shown in the figure [C₁ and C₂ sta… JEE Main 26th June 1st Shift 2022
• The charge on the capacitor of capacitance 15 μ F in the circuit shown is [capacitors of 10 μ F, 15 μ F and 2… JEE Main 26th June 2nd Shift 2022
• A parallel plate capacitor filled with a medium of dielectric constant 10 is connected across a battery and c… JEE Main 29th June 1st Shift 2022
• The material filled between the plates of a parallel plate capacitor has resistivity 200 Ω m. The capacitance… JEE Main 26th Aug 1st Shift 2021
• Three capacitors C₁=2 μ F, C₂=6 μ F and C₃=12 μ F are connected as shown in the figure [C₂ and C₃ are in seri… JEE Main 27th Aug 2nd Shift 2021
• A capacitor is connected to a 20 V battery through a resistance of 10 Ω. It is found that the potential diffe… JEE Main 1st Sept 2nd Shift 2021
• Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacita… JEE Main 24th Feb 1st Shift 2021
• Consider the combination of two capacitors C₁ and C₂, with C₂>C₁. When connected in parallel, the equivalent… JEE Main 26th Feb 1st Shift 2021
• A 10 μ F capacitor is fully charged to a potential difference of 50 V. After removing the source voltage it i… JEE Main 2nd Sept 2nd Shift 2020
• In the circuit shown in the figure, the total charge is 750 μC and the voltage across capacitor C₂ is 20 V. T… JEE Main 3rd Sept 1st Shift 2020
• A capacitor C is fully charged with voltage V₀. After disconnecting the voltage source, it is connected in pa… JEE Main 4th Sept 2nd Shift 2020
• Two capacitors of capacitances C and 2C are charged to potential differences V and 2V respectively. These are… JEE Main 5th Sept 1st Shift 2020
• In the circuit shown, a 2 μ F capacitor runs from the left terminal, held at 6 V, to the junction P; a 4 μ F… JEE Main 5th Sept 2nd Shift 2020
• The effective capacitance of the parallel combination of two capacitors C₁ and C₂ is 10 μ F. When these capac… JEE Main 8th Jan 1st Shift 2020
• A capacitor with capacitance 5 μ F is charged to 5 μC. If the plates are pulled apart to reduce the capacitan… JEE Main 9th April 1st Shift 2019
• The parallel combination of two air-filled parallel plate capacitors of capacitance C and nC is connected to… JEE Main 9th April 2nd Shift 2019
• A graph of charge q against voltage V is drawn for the series and the parallel combination of two given capac… JEE Main 10th April 1st Shift 2019
• In the given circuit a 4 μ F capacitor is in series with the parallel pair 1 μ F and 5 μ F; this branch is in… JEE Main 12th April 2nd Shift 2019
• A parallel plate capacitor having capacitance 12 pF is charged by a battery to a potential difference of 10 V… JEE Main 10th Jan 2nd Shift 2019
• In the circuit shown, a 10 μ F capacitor is in series with the parallel pair 6 μ F and 4 μ F, which in turn i… JEE Main 11th Jan 1st Shift 2019
• Seven capacitors, each of capacitance 2 μ F, are to be connected in a configuration to obtain an effective ca… JEE Main 11th Jan 2nd Shift 2019
• In the circuit shown, the pole of a switch S is joined to the upper plate of a capacitor C; contact A leads t… JEE Main 12th Jan 1st Shift 2019
• In the circuit shown, all values are in μ F. From the terminal A a capacitor C leads to a node P. From P a 2… JEE Main 12th Jan 2nd Shift 2019
• In the circuit shown, A is joined through a 6 μ F capacitor to a node P. Two 5 μ F capacitors hang in paralle… JEE Main Online 2018
• A capacitor C₁=1.0 μ F is charged up to a voltage V=60 V by connecting it to a battery B through switch (1).… JEE Main Online 2018
• A combination of capacitors is set up as shown in the figure: a 4 μ F capacitor is in series with the paralle… JEE Main 2016
• Three capacitors each of 4 μ F are to be connected in such a way that the effective capacitance is 6 μ F. Thi… JEE Main Online 2016
• The figure shows a network of capacitors in which the numbers indicate capacitances in μ F. From A the capaci… JEE Main Online 2016
• A system of four capacitors is connected across a 10 V battery. The upper branch is a 2 μ F from the left bat… JEE Main Online 2015
• A parallel plate capacitor is made of two plates of length l, width w, separated by a distance d. A dielectri… JEE Main Online 2014
• Two capacitors C₁ and C₂ are charged to 120 V and 200 V respectively. It is found that by connecting them tog… JEE Main 2013
• Two circuits (a) and (b) have charged capacitors with open switches. In circuit (a) a capacitor 3C carrying c… JEE Main Online 2012
• A series combination of n₁ capacitors, each of value C₁, is charged by a source of potential difference 4V. W… JEE Main Online 2012
• A parallel plate condenser with a dielectric constant K between the plates has a capacity C and is charged to… JEE Main 2007
• A battery is used to charge a parallel plate capacitor till the potential difference between the plates becom… JEE Main 2007
• A fully charged capacitor has a capacitance C. It is discharged through a small coil of resistance wire embed… JEE Main 2005
• A parallel plate capacitor is made by stacking n equally spaced plates connected alternately. If the capacita… JEE Main 2005
• The work done in placing a charge of 8×10⁻¹⁸ coulomb on a condenser of capacity 100 μ F is JEE Main 2005
• If there are n capacitors, each of capacitance C, connected in parallel across a source of V volt, then the e… JEE Main 2002
• A capacitor P with capacitance 10×10⁻⁶ F is fully charged with a potential difference of 6.0 V and disconnect… JEE Main 22nd Jan 2nd Shift 2026
• Four capacitors each of capacitance 16 μ F are connected in one horizontal row, so that the five nodes along… JEE Main 4th April 1st Shift 2025
• A parallel plate capacitor of capacitance 12.5 pF is charged by a battery connected between its plates to a p… JEE Main 4th April 2nd Shift 2024
• Three capacitors of capacitances 25 μ F, 30 μ F and 45 μ F are connected in parallel to a supply of 100 V. Th… JEE Main 5th April 1st Shift 2024
• A capacitor of capacitance C at potential V has energy E. It is connected to another capacitor of capacitance… JEE Main 30th Jan 1st Shift 2024
• Two parallel plate capacitors having equal plate area of 200 cm² are formed as follows: a conducting middle p… JEE Main 6th April 2nd Shift 2023
• A 600 pF capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to… JEE Main 8th April 2nd Shift 2023
• In the given circuit, C₁=2 μ F, C₂=0.2 μ F, C₃=2 μ F, C₄=4 μ F, C₅=2 μ F and C₆=2 μ F. A 10 V cell sits in th… JEE Main 11th April 2nd Shift 2023
• Three capacitors C₁=2 μ F, C₂=x μ F and C₃=3 μ F are connected in parallel across a supply of V=10 V. The tot… JEE Main 15th April 1st Shift 2023
• A capacitor of capacitance 900 μ F is charged by a 100 V battery. The capacitor is disconnected from the batt… JEE Main 30th Jan 1st Shift 2023
• Two parallel plate capacitors C₁ and C₂, each having a capacitance of 10 μ F, are individually charged by a 1… JEE Main 31st Jan 2nd Shift 2023
• Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a pot… JEE Main 25th July 2nd Shift 2022
• Six capacitors of 8 μ F each lie in one horizontal row between A and B, so the seven nodes along the row are… JEE Main 25th June 1st Shift 2022
• A capacitor of capacitance 50 pF is charged by a 100 V source. It is then connected to another uncharged iden… JEE Main 27th June 1st Shift 2022
• A capacitor C₁ of capacitance 5 μ F is charged to a potential of 30 V using a battery. The battery is then re… JEE Main 28th June 2nd Shift 2022
• A parallel plate capacitor of capacitance 200 μ F is connected to a battery of 200 V. A dielectric slab of di… JEE Main 31st Aug 2nd Shift 2021
• Four identical rectangular plates with length l=2 cm and breadth b=3/2 cm are arranged as follows: the plates… JEE Main 17th March 1st Shift 2021
• A parallel plate capacitor whose capacitance C is 14 pF is charged by a battery to a potential difference V=1… JEE Main 17th March 1st Shift 2021
• A 2 μ F capacitor C₁ is first charged to a potential difference of 10 V using a battery through a switch S₁.… JEE Main 17th March 2nd Shift 2021
• A 5 μ F capacitor is charged fully by a 220 V supply. It is then disconnected from the supply and is connecte… JEE Main 2nd Sept 1st Shift 2020
• A 60 pF capacitor is fully charged by a 20 V supply. It is then disconnected from the supply and is connected… JEE Main 7th Jan 2nd Shift 2020