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2. Electric potential and capacitance — Physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 SciencePhysics2. Electric potential and capacitance1 Mark
MCQ
$A$ and $B$ are concentric conducting spherical shells. $A$ is given a positive charge while $B$ is earthed. Then :-
  • A
    $A$ and $B$ both will have the same charge densities
  • B
    The potential inside $A$ and outside $B$ will zero.
  • ✓
    the electric field between $A$ and $B$ is non zero
  • D
    the electric field inside $A$ and outside $B$ is non zero
✓

Answer

Correct option: C.
the electric field between $A$ and $B$ is non zero
c
The charge on sphere $B$ due to ground potential of zero is $-Q$ on the inner surface. Charge density on $A$ is $Q / 4 \pi r_{A}^{2}$ and that of $B$ is $-Q / 4 \pi r_{B}^{2} .$ So two charge densities are not equal.

option $A$ is incorrect.

The two sphere system act as the concentric sphere capacitor.

By Gauss'law, The electric field is zero inside $A$ and outside the $B$.

But it is $non-zero$ between $A$ and $B$.

So option $\mathrm{B}$ and $\mathrm{D}$ are incorrect.

option $C$ is incorrect.

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