Q50 / 60 · JEE Advanced 2012 (Paper 1) · Physics

Consider a thin spherical shell of radius $R$ with centre at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field $|\vec{E}(r)|$ and the electric potential $V(r)$ with the distance $r$ from the centre, is best represented by which graph?

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

Solution

For a thin uniformly positive charged spherical shell (i) Inside the shell at any point $E=O$ and $V=\frac{1}{4 \pi \in_{0}} \quad \frac{q}{R}=$ constt. where $q=$ charge on sphere $R=$ Radius of sphere (ii) Outside the shell at any point at any distance $r$ from the centre $E \propto \frac{1}{r^{2}}$ and $V \propto \frac{1}{r}$

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

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