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Why are the equipotential surfaces about...

Why are the equipotential surfaces about a single charge are not equidistant ?

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Electric field at a point distant r from a point charge Q is given as `E = (Q)/(4 pi in_(0) r^(2))` . As `E prop (1)/(r^(2))` , the field is non-uniform . Therefore , equipontential surfaces are not equidistant .
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Define an equipotential surface. Draw equipotential surfaces (i) in the case of a single point charge. (ii) in a constant electric field in Z direction. Why the euipotential surfaces about a single charge are not equidistant ? (iii) Can electric field exist tangential to an equipotential surface ? Give reson.

Define an equipotential surface. Draw equipotential surfaces : (i) in the case of single point charge and (ii) in a constant electric field in Z -direction. Why the equpotential surfaces about a single charge are not equidistant ? (iii) Can electric field exist tangential to an equipotential surface ? Given reason.

Knowledge Check

  • Nature of equipotential surface for a point charge is

    A
    ellopsoid with charge at foci
    B
    sphere with charge at the centre of the sphere
    C
    sphere with charge on the surface of the sphere
    D
    plane with charge on the surface

  • The shape of equipotential surfaces due to an isolated charge is

    A
    Concentric spherical shells and the distance between the shells increases with the decrease in electric field
    B
    Concentric spherical shells and the distance between the shells decreases with the decrease in electric field
    C
    Equi-spaced concentric spherical shells
    D
    Changes with the polarity of the charge

  • A spherical equipotential surface is not possible

    A
    for a point chargge
    B
    for a dipole
    C
    inside a uniformly charged sphere
    D
    inside a spherical capacitor

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