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Electric Potential for JEE: 51 solved questions

Real JEE paper questions on electric potential, part of electric potential and capacitance. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2003 to 2026. No sign-in needed to read them.

What this topic asks

• Potential of shells and spheres — 16 questions
• Relation between field and potential — 12 questions
• Equipotential surfaces and V-r graphs — 10 questions
• Potential of point charges — 8 questions
• Potential of a ring, arc and rod — 5 questions

All 51 questions with solutions

• Two charged conducting spheres S₁ and S₂ of radii 8 cm and 18 cm are connected to each other by a wire. After… JEE Main 2nd April 1st Shift 2026
• The electric potential as a function of x and y is given by V=5(x²-y²) V. The electric field at the point (2,… JEE Main 6th April 2nd Shift 2026
• The electric field in a region is given by ⃗E=Ax ̂i+By ̂j, where A=10 V m⁻² and B=5 V m⁻². If the electric po… JEE Main 22nd Jan 1st Shift 2026
• Five positive charges, each of magnitude q, are placed at the vertices of a regular pentagon as shown in the… JEE Main 22nd Jan 2nd Shift 2026
• The electrostatic potential in a charged spherical region of radius r varies as V=ar³+b, where a and b are co… JEE Main 24th Jan 1st Shift 2026
• There are three concentric conducting spherical shells A, B and C of radii a, b and c respectively (c>b>a), c… JEE Main 24th Jan 1st Shift 2026
• The electrostatic potential on the surface of a uniformly charged spherical shell of radius R=10 cm is 120 V.… JEE Main 3rd April 1st Shift 2025
• Given below are two statements, one labelled Assertion (A) and the other labelled Reason (R). Assertion (A):… JEE Main 8th April 2nd Shift 2025
• Three infinitely long wires, each with linear charge density λ, are placed along the x-axis, the y-axis and t… JEE Main 28th Jan 1st Shift 2025
• An electric charge of 10⁻⁶ μC is placed at the origin (0,0) of the X-Y coordinate system. Two points P and Q… JEE Main 27th Jan 1st Shift 2025
• Given below are two statements, one labelled Assertion (A) and the other labelled Reason (R). Assertion (A):… JEE Main 27th Jan 2nd Shift 2024
• For a uniformly charged thin spherical shell, the electric potential V measured radially away from the centre… JEE Main 6th April 1st Shift 2023
• The electric potential at a point P due to a point charge of 5×10⁻⁹ C is 50 V. The distance of P from the poi… JEE Main 8th April 2nd Shift 2023
• The electric potential at the centre of two concentric half rings of radii R₁ and R₂, having the same linear… JEE Main 24th Jan 2nd Shift 2023
• Which of the following correctly represents the variation of the electric potential V of a charged spherical… JEE Main 31st Jan 1st Shift 2023
• Considering a group of positive charges, which of the following statements is correct? JEE Main 31st Jan 2nd Shift 2023
• Two uniformly charged spherical conductors A and B of radii 5 mm and 10 mm are separated by a distance of 2 c… JEE Main 26th July 2nd Shift 2022
• Given below are two statements. Statement I: Electric potential is constant within and at the surface of each… JEE Main 29th July 1st Shift 2022
• If the electric potential at any point (x,y,z) in space is given by V=3x² volt, the electric field at the poi… JEE Main 29th June 2nd Shift 2022
• Two thin coaxial rings, each of radius a and carrying charges +Q and -Q respectively, are separated by a dist… JEE Main 26th Aug 2nd Shift 2021
• A charge Q is distributed over two concentric conducting thin spherical shells of radii r and R (R>r). If the… JEE Main 2nd Sept 2nd Shift 2020
• Two isolated conducting spheres S₁ and S₂ of radii 2/3R and 1/3R carry 12 μC and -3 μC of charge respectively… JEE Main 3rd Sept 1st Shift 2020
• Consider two concentric metallic hollow spheres of radii R and 4R holding charges Q₁ and Q₂ respectively. Giv… JEE Main 3rd Sept 2nd Shift 2020
• Ten charges are placed on the circumference of a circle of radius R with a constant angular separation betwee… JEE Main 5th Sept 2nd Shift 2020
• Consider two charged metallic spheres S₁ and S₂ of radii R₁ and R₂ respectively. The electric fields E₁ (on S… JEE Main 8th Jan 2nd Shift 2020
• A charge Q is distributed over three concentric spherical shells of radii a, b, c (a<b<c) such that their sur… JEE Main 10th Jan 1st Shift 2020
• A solid conducting sphere carrying a charge Q is surrounded by an uncharged conducting hollow spherical shell… JEE Main 8th April 1st Shift 2019
• The electric field in a region is given by ⃗E=(Ax+B)̂i, where E is in N C⁻¹ and x is in metres. The values of… JEE Main 8th April 2nd Shift 2019
• The given graph shows the variation (with distance r from the centre) of [the plotted quantity stays constant… JEE Main 11th Jan 1st Shift 2019
• Three concentric metal shells A, B and C of respective radii a, b and c (a<b<c) have surface charge densities… JEE Main 2018
• There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred… JEE Main Online 2017
• The potential (in volts) of a charge distribution is given by V(z)=30-5z² for |z|≤1 m and V(z)=35-10|z| for |… JEE Main Online 2016
• Within a spherical charge distribution of charge density ρ(r), N equipotential surfaces of potential V₀, V₀+Δ… JEE Main Online 2016
• A uniformly charged solid sphere of radius R has potential V₀ (measured with respect to ∞) on its surface. Fo… JEE Main 2015
• An electric field ⃗E=(30̂i+30̂j) N C⁻¹ exists in a region of space. If the potential at the origin is taken t… JEE Main Online 2015
• Assume that an electric field ⃗E=30x²̂i exists in space. Then the potential difference V_A-V_O, where V_O is… JEE Main 2014
• A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure [the rod AB and the… JEE Main 2013
• Two small equal point charges of magnitude q are suspended from a common point on the ceiling by insulating m… JEE Main Online 2013
• Consider a finite, insulated, uncharged conductor placed near a finite positively charged conductor. The unch… JEE Main Online 2013
• This question has Statement 1 and Statement 2. Of the four choices given after the statements, choose the one… JEE Main 2012
• The electrostatic potential inside a charged spherical ball is given by φ=ar²+b, where r is the distance from… JEE Main 2011
• This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose th… JEE Main 2009
• The potential at a point x (measured in μm) due to some charges situated on the x-axis is given by V(x)=(20)/… JEE Main 2007
• Charges are placed on the vertices of a square as shown [+q at the top-left corner A and +q at the top-right… JEE Main 2007
• An electric charge 10⁻³ μC is placed at the origin (0,0) of an X-Y coordinate system. Two points A and B are… JEE Main 2007
• Two thin wire rings each having a radius R are placed a distance d apart with their axes coinciding. The char… JEE Main 2005
• A thin spherical conducting shell of radius R carries a charge q. Another charge Q is placed at the centre of… JEE Main 2003
• At the centre of a half ring of radius R=10 cm and linear charge density 4 nC m⁻¹, the potential is xπ V. The… JEE Main 9th April 1st Shift 2024
• Three concentric spherical metallic shells X, Y and Z of radii a, b and c respectively (a<b<c) have surface c… JEE Main 10th April 1st Shift 2023
• For a charged spherical ball the electrostatic potential inside the ball varies with r as V=2ar²+b, where a a… JEE Main 29th Jan 2nd Shift 2023
• Two spherical conductors A and B of radii 1 mm and 2 mm are separated by a distance of 5 cm and are uniformly… JEE Main 2006