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Electrostatic Potential Energy for JEE: 33 solved questions

Real JEE paper questions on electrostatic potential 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

• Work done in moving a charge — 11 questions
• Energy of a system of charges — 8 questions
• Energy conservation and closest approach — 7 questions
• Coalescing charged drops — 7 questions

All 33 questions with solutions

• A point charge 2×10⁻² C is moved from P to S in a uniform electric field of 30 N C⁻¹ directed along the posit… JEE Main 29th Jan 2nd Shift 2023
• There is a uniform spherically symmetric surface charge density at a distance R₀ from the origin. The charge… JEE Main 12th Jan 1st Shift 2019
• A particle of mass m and charge q is fastened to one end A of a massless string having equilibrium length l,… JEE Main 28th Jan 1st Shift 2025
• A three coulomb charge moves from the point (0,-2,-5) to the point (5,1,2) in an electric field expressed as… JEE Main 6th April 1st Shift 2026
• A point charge of 10⁻⁸ C is placed at the origin. The work done in moving a point charge of 2 μC from the poi… JEE Main 21st Jan 1st Shift 2026
• Consider two identical metallic spheres of radius R, each having charge Q and mass m. Their centres have an i… JEE Main 21st Jan 2nd Shift 2026
• Three small identical drops of water carrying the same charge on each coalesce to form a bigger drop. The rat… JEE Main 22nd Jan 2nd Shift 2026
• Two charges 7 μC and -2 μC are placed at (-9,0,0) cm and (9,0,0) cm respectively, in an external field ⃗E=A/(… JEE Main 23rd Jan 2nd Shift 2026
• Two point charges of 1 nC and 2 nC are placed at two corners of an equilateral triangle of side 3 cm. The wor… JEE Main 28th Jan 1st Shift 2026
• Two large plane parallel conducting plates are kept 10 cm apart as shown in the figure [the two plates are ve… JEE Main 2nd April 2nd Shift 2025
• Two charges q₁ and q₂ are separated by a distance of 30 cm. A third charge q₃, initially at C as shown in the… JEE Main 7th April 1st Shift 2025
• Two charges 7 μC and -4 μC are placed at (-7 cm,0,0) and (7 cm,0,0) respectively. Given ε₀=8.85×10⁻¹² C² N⁻¹… JEE Main 22nd Jan 2nd Shift 2025
• In the first configuration (1) shown in the figure, four identical charges q₀ are kept at the corners A, B, C… JEE Main 24th Jan 2nd Shift 2025
• Sixty four conducting drops, each of radius 0.02 m and each carrying a charge of 5 μC, are combined to form a… JEE Main 26th June 2nd Shift 2022
• Two point charges 4q and -q are fixed on the x-axis at x=-d/2 and x=d/2 respectively. If a third point charge… JEE Main 4th Sept 1st Shift 2020
• A solid sphere of radius R carries a charge Q+q distributed uniformly over its volume. A very small point-lik… JEE Main 5th Sept 1st Shift 2020
• Two identical electric point dipoles have dipole moments ⃗p₁=p̂i and ⃗p₂=-p̂i and are held on the x-axis at a… JEE Main 6th Sept 2nd Shift 2020
• A system of three charges is placed as shown in the figure [+q and -q separated by a distance d, and a charge… JEE Main 9th April 1st Shift 2019
• A uniformly charged ring of radius 3a and total charge q is placed in the xy-plane centred at the origin. A p… JEE Main 10th April 1st Shift 2019
• In free space, a particle A of charge 1 μC is held fixed at a point P. Another particle B of the same charge… JEE Main 10th April 2nd Shift 2019
• Four equal point charges Q each are placed in the xy-plane at (0,2), (4,2), (4,-2) and (0,-2). The work requi… JEE Main 10th Jan 2nd Shift 2019
• Three charges Q, +q and +q are placed at the vertices of a right-angle isosceles triangle as shown in the fig… JEE Main 11th Jan 1st Shift 2019
• Two positive charges of magnitude q are placed at the ends of a side (side 1) of a square of side 2a. Two neg… JEE Main Re-Scheduled 2011
• Two points P and Q are maintained at the potentials of 10 V and -4 V respectively. The work done in moving 10… JEE Main 2009
• Two insulating plates are both uniformly charged in such a way that the potential difference between them is… JEE Main 2006
• A charged particle q is shot with speed v towards another charged particle Q which is held fixed. It approach… JEE Main 2004
• On moving a charge of 20 C through a displacement of 2 cm, 2 J of work is done. The potential difference betw… JEE Main 2002
• 64 identical drops each charged up to a potential of 10 mV combine to form a bigger drop. The potential of th… JEE Main 12th April 1st Shift 2023
• 27 identical drops are charged to 22 V each. They combine to form a bigger drop. The potential of the bigger… JEE Main 25th June 2nd Shift 2022
• Eight similar drops of mercury are maintained at 12 V each. All these spherical drops combine into a single b… JEE Main 30th June 1st Shift 2022
• 512 identical drops of mercury are charged to a potential of 2 V each. The drops are joined to form a single… JEE Main 25th Feb 1st Shift 2021
• In an electrical circuit a battery passes 20 C of charge through it in a certain given time. The potential di… JEE Main 26th Feb 1st Shift 2021
• 27 similar drops of mercury are maintained at 10 V each. All these spherical drops combine into a single big… JEE Main 26th Feb 2nd Shift 2021