a constant electric field surface


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PDF Chapter 3 Gauss(s) Law

We will consider a flat surface of area A and an electric field which is constant (that is has the same vector value) over the surface The surface is 

  • Is electric field constant everywhere?

    There are very few cases where electric field is uniform in all point in space .
    When there are no charges , electric field is zero at all points and hence it is uniform.
    Electric field due to a infinite plane with uniform charge distribution is also uniform at all points.

  • The flux Φ of the electric field →E through any closed surface S (a Gaussian surface) is equal to the net charge enclosed (qenc) divided by the permittivity of free space (ϵ0): Φ=∮S→E⋅ˆndA=qencϵ0.
    To use Gauss's law effectively, you must have a clear understanding of what each term in the equation represents.

  • What is a constant electric field?

    A constant electric field is one whose (partial) derivative with respect to time is zero.
    That is, it does not change in time.
    A uniform electric field is one whose (partial) derivative with respect to any spatial variable is zero.
    That is, the field is the same in magnitude and direction throughout space.

  • What is the electric field on the surface?

    The Electric Field at the Surface of a Conductor.
    If the electric field had a component parallel to the surface of a conductor, free charges on the surface would move, a situation contrary to the assumption of electrostatic equilibrium.
    Therefore, the electric field is always perpendicular to the surface of a conductor

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    Important Questions for CBSE Class 12 Physics Gauss's Law

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