Q122 / 125 · BITSAT 2019 · Physics

In the following figures, which figure represents the variation of the electric field with distance from the centre of a uniformly charged non-conducting spheres of radius R ?

  • A
    Figure
  • B
    Figure
  • Correct answer
    C
    Figure
  • D
    Figure

Solution

The electric field intensity at a point lying outside the sphere (non-conducting) is

E=14πε0·qr2

i.e.  E∝1r2    …i

The electric field intensity at the surface (r=R),

E=14πε0qR2

⇒E∝1R2

where, R being the radius of sphere,

The electric field intensity inside the sphere is

E=qr4πε0R3

⇒E∝r

At the centre of sphere, r=0, ∴E=0

Hence, the correct answer is option: 'C'.

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