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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 spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume in the figure. The electric field inside the emptied space is
  • A
    Zero everywhere
  • ✓
    Non-zero and uniform
  • C
    Non-uniform
  • D
    Zero only at its center
✓

Answer

Correct option: B.
Non-zero and uniform
b
$a=$ distance between center of both spheres By principle of superposition the net electric field at point $\mathrm{P}$

$\overrightarrow {\rm{E}}  = \frac{{\overrightarrow {\rho {\rm{r}}} }}{{3{{\rm{e}}_0}}} - \frac{{{{\overrightarrow {\rho {\rm{r}}} }^\prime }}}{{3{{\rm{e}}_0}}}$

$\therefore \quad \overrightarrow{\mathrm{r}}-\overrightarrow{\mathrm{r}}^{\prime}=\overrightarrow{\mathrm{a}}$

$\therefore \overrightarrow {\rm{E}}  = \frac{{\rho \overrightarrow {\rm{a}} }}{{3{ \in _0}}} = $ uniform

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