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potential energy and electric potential questions with solutions

Practice Electrostatic for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.

Showing 1–10 of 35 questions

  • MCQmediumElectrostatic

    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 positive x-axis. If coordinates of P and S are (1, 2, 0) m and (0, 0, 0) m respectively, the work done by electric field will be:

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    JEE Mains29 January 2023Shift 2Evening Shift

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  • IntegereasyElectrostatic

    A charge of 3 C moves from the point (0, -2, -5) to the point (5, 1, 2) in the electric field E = 2x î + 3y² ĵ + 4 k̂ N·C⁻¹. Find the work done by the electric field in moving the charge, in joules.

    JEE Mains 2026 6 April Morning Shift

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  • Multi-correctmediumElectrostatic

    Four identical particles, each of mass m and charge q, are placed at the vertices of a square of side ℓ. They are released simultaneously from rest on a frictionless plane. Select the correct statement(s).

    Select all that apply

    JEE Advanced

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  • MCQmediumElectrostatic

    Consider two identical metallic spheres of radius R each having charge Q and mass m. Their centers have an initial separation of 4R. Both the spheres are given an initial speed of u towards each other. The minimum value of u, so that they can just touch each other is :

    (Take k = 1/(4πε₀) and assume kQ² > Gm² where G is the Gravitational constant)

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    JEE Mains 202621 January Evening Shift

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  • MCQeasyElectrostatic

    The electric potential at the centre of two concentric half rings of radii R₁ and R₂, having same linear charge density λ is

    177187-1789304405853.webp

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    JEE Mains24 January 2023Shift 2Evening Shift

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  • MCQmediumElectrostatic

    For a uniformly charged thin spherical shell, the electric potential (V) radially away from the entre (O) of shell can be graphically represented as -

    180878-1789796650790.webp

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    JEE Mains6 April 2023Shift 1Morning Shift

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  • MCQmediumElectrostatic

    Electric field in a region is given by E⃗\vec{E} = Axî + Byĵ, where A = 10 V/m² and B = 5 V/m². If the electric potential at a point (10, 20) is 500 V, then the electric potential at origin is ______ V.

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    JEE Mains 202622 January Morning Shift

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  • NumericmediumElectrostatic

    The distance between charges +q and -q is 2l and between +2q and -2q is 4l. The electrostatic potential at point P at a distance r from centre O is -α[ql/r²] × 10⁹ V, where the value of α is ______. (Use 1/(4πε₀) = 9 × 10⁹ N m² C⁻²)

    174558-1788951667466.webp

    JEE Mains 2024 31 Jan Evening Shift

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  • NumericmediumElectrostatic

    The diagram shows a small bead of mass m carrying charge q. The bead can freely move on the smooth fixed ring placed on a smooth horizontal plane. In the same plane a charge +Q has also been fixed as shown. The potential at the point P due to +Q is V. The velocity with which the bead should projected from the point P so that it can complete a circle should be greater than \sqrt{}(nqV/m) find ‘n’.

    1bbfc349-d9ca-45b7-a7f8-4a1bfbfcf9c4-1792129692094.webp

    JEE Mains

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  • MCQmediumElectrostatic

    A point charge of 10⁻⁸ C is placed at origin. The work done in moving a point charge 2 μC from point A(4, 4, 2) m to B(2, 2, 1) m is __________J.

    ( 1 ────── 4πε₀ = 9 × 10⁹ in SI units)

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    JEE Mains 202621 January Morning Shift

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