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Using Gauss’s theorem in electrostatics, deduce an expression for electric field intensity due to a charged spherical shell at a point (i) inside (ii) on its surface (iii) outside it. Graphically show the variation of electric field intensity with distance from the centre of shell.

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Knowledge Check

  • Electric field intensity due to a charged sphere at a point outside the sphere decreases with "……………….." .

    A
    increase in charge on sphere
    B
    increase in dielectric constant.
    C
    decrease in the distance of from the centre of sphere.
    D
    decrease in the square of distance from the centre of sphere.

  • Electric field intensity at a point a hollow charged spherical conductor

    A
    is zero
    B
    is constant
    C
    increase with the distance from the centre of the sphere
    D
    none of these

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