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If electric field vec(E) is zero at a pa...

If electric field `vec(E)` is zero at a particular point then potential `V` at that point.....

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If vec(E ) equals zero at a given point mus V equal for that point .

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.

Knowledge Check

  • Let V_0 be the potential at the origin in an electric field vecE = 4hati + 5hatj . The potential at the point (x,y) is

    A
    `V_0 - 4x - 5y`
    B
    `V_0 + 4x + 5y`
    C
    `4x + 5y - V_0`
    D
    `-4x - 5y`
  • If electric potential is zero, the vec (E ) are:

    A
    zero
    B
    not zero
    C
    insufficient formation
    D
    `oo`
  • At a particular point, electric field depends upon

    A
    source charge Q only
    B
    test charge `q_(0)` only
    C
    both Q and `q_(0)`
    D
    neither Q nor `q_(0)`
  • Similar Questions

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    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.

    4Statement - 1 : The electric potential and the electric field intensity at the centre of a square having four fixed point charges at their vertices as shown in figure are zero. Statement - 2 : If electric potential at a point is zero then the magnitude of electric field at that point must be zero.

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    STATEMENT-1 : At a point electrostatic field is zero, then potential at that point may be zero . and STATEMENT-2 : Negative of the potential gradient is equal to electrostatic field.

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