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On the basis of your understanding of th...

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.

Text Solution

Verified by Experts

As `E = 1000 hatiV m^(-1)`, so distance Ar between points having potentials `V_0 = 100 V and V_1 = 80 V` is
`Delta r = (x_1 = 0) = (V_0-V_1)/E = (100-80)/(1000)`
`= 0.02m = 2.0m`
`rArr x_1 = 2.0 m`
Similarly potential `V_2 = 60 V and V_3 = 40 V` corresponds to positions `x_2 = 4.0 cm and x_3 = 6.0 cm` respectively. Equipotential surfaces corresponding to these potentials are drawn here.
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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. If a charge of 2 nC is taken from equipotential surface number 2 to 3, what is the amount of work done ?

Knowledge Check

  • Equipotential surfaces

    A
    are closer in regions of large electric fields compared to regions of lower electric fields
    B
    will be more crowded near sharp edges of a conductor.
    C
    will be more crowded near regions of large charge densities
    D
    will aways be equally spaced
  • The electric field lines coming out of an equipotential surface are

    A
    perpendicular to the surface
    B
    parallel to the surface
    C
    in all directions
    D
    zero
  • An equipotential surface is that surface on which each and every point has

    A
    same potential
    B
    zero potential
    C
    negative potential
    D
    different potential
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