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Equipotential surfaces are perpendicular...

Equipotential surfaces are perpendicular to field lines. Why ?

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No work is done in moving a charge from one point on equipotential surface to the other.
Therefore, component of electric field intensity along the equipotential surface is zero it means, the electric field intensity is perpendicular to equipotential surface. Hence, the surface is perpendicular to field lines.
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Knowledge Check

  • Consider the following statements about equipotential surfaces and select the correct ones. I. No work is required to be done to move a test charge between any two points on an equipotential surface. II. Electric lines of force at the equipotential surfaces are mutually perpendicular to each other.

    A
    Both I and II are correct
    B
    I is correct and II is Incorrect
    C
    I is incorrect and II Is correct
    D
    I and II both are Incorrect

  • In the following question a statement of assertion (A) is followed by a statement of reason (R ) A : An equipotential surface is normal to electric field lines. R : Potential increases in direction of electric field .

    A
    If both Assertion & Reason are true and the reason is the correct explanation of the assertion , then mark (1).
    B
    If both Assertion & Reason are true but the reason is not correct explanation of the assertion then mark (2)
    C
    If Assertion is true statement but Reason is false, then mark (3)
    D
    If both Assertion and Reason are false statements , then mark (4).

  • What is not true for equipotential surface for uniform electric field ?

    A
    Equipotential surface is flat
    B
    Equipotential surface is spherical
    C
    Electric lines are perpendicular to equipotential surface
    D
    Work done is zero

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    Draw schematically the equipotential surface corresponding to a field that uniformly increases in magnitude but remains in a constant (say z) direction.

    Draw schematically an equipotential surface of a uniform electrostatic field along x - axis

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