Shown in the figure is a shell made of a conductor. It has inner radius $a$ and outer radius $b$,and carries a total charge $Q$. At its centre is a dipole $\vec{P}$ as shown. In this case,

  • A
    Surface charge density on the inner surface of the shell is zero everywhere.
  • B
    Electric field outside the shell is the same as that of a point charge $Q$ at the centre of the shell.
  • C
    Surface charge density on the inner surface is uniform and equal to $\frac{(Q/2)}{4\pi a^2}$.
  • D
    Surface charge density on the outer surface depends on $|\vec{P}|$.

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The electric field in a region is given by $\vec E = \frac{3}{5}E_0\hat i + \frac{4}{5}E_0\hat j$ and $E_0 = 2 \times 10^3 \, N/C$. Then,the flux of this field through a rectangular surface of area $0.2 \, m^2$ parallel to the $y-z$ plane is ...... $\frac{N \cdot m^2}{C}$.

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