Q.
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
B) Non-zero and uniform
C) Non-uniform
D) Zero only at its center
Explanation
(b) $a =$ distance between centre of both spheres
By principle of superposition the net electric field at point $P$
[image:1_image306.emf]
$\overrightarrow{E} = \frac{\rho\overrightarrow{r}}{3 \in_{0}} - \frac{\rho\overrightarrow{r}''}{3 \in_{0}}$
$\therefore\overrightarrow{r} - {\overrightarrow{r}}^{''} = \overrightarrow{a}$
$\therefore\overrightarrow{E} = \frac{\rho\overrightarrow{a}}{3 \in_{0}} =$ uniform
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.