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The potential produced by a point charge...

The potential produced by a point charge is `V = kQ// r`. Use this information to determine the shape of equipotential surface ?

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`V = kQ //q`, for same distance r from a point, potential is the same. This is possible only for a spherical surface. So shape of equipotential surface should be spherical.
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The figure shows equipotential surfaces due to two poit charges +3Q and -Q placed at a separation d. (a) Will the shape of epuipotential surface be spherical very close to both the point charges? What shape of equipotentials will be seen at very far away points from the pair of charges. (b) Find the distance of point P from the negative charge. (c) Find the potential of the surface marked as S_1 is the figure. (d) Consider the surface having zero potential. Write the flux of electric field through this surface

Relation between field and potential|| Equipotential surface

Knowledge Check

  • Work done in moving a charge on equipotential surface is:

    A
    Infinite
    B
    Zero
    C
    Cannot determine
    D
    1

  • The work done in moving a positive charge on an equipotential surface is

    A
    finite and positive
    B
    infinite
    C
    finite and negative
    D
    zero

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    No work is done in moving a test charge over an equipotential surface, why?

    Potential OF Disc,Shell and Equipotential Surface

    What is the shape of equipotential surface for a given point charge q.

    On the basis of your understanding of the following paragraph and the related studied concepts. An equipotential surface is a surface with a constant value of electric potential at all points on the surface. The component of electric field parallel to an equipotential surface is zero, as the potential does not change in this direction. Thus, the electric field is perpendicular to the equipotential surface at each point of the surface. Further, say the direction of electric field electrical potential gradually fall with distance. If electric potential at origin point O be 100 V, then for electric field specified in part (b), draw equipotential surfaces corresponding to potentials 80 V, 60 V and 40 V respectively.

    On the basis of your understanding of the following paragraph and the related studied concepts. An equipotential surface is a surface with a constant value of electric potential at all points on the surface. The component of electric field parallel to an equipotential surface is zero, as the potential does not change in this direction. Thus, the electric field is perpendicular to the equipotential surface at each point of the surface. Further, say the direction of electric field electrical potential gradually fall with distance. Draw equipotential surfaces around an isolated positive point charge + q. Mark direction of electric field vecE also.

    On the basis of your understanding of the following paragraph and the related studied concepts. An equipotential surface is a surface with a constant value of electric potential at all points on the surface. The component of electric field parallel to an equipotential surface is zero, as the potential does not change in this direction. Thus, the electric field is perpendicular to the equipotential surface at each point of the surface. Further, say the direction of electric field electrical potential gradually fall with distance. If a charge of 2 nC is taken from equipotential surface number 2 to 3, what is the amount of work done ?

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