Q. The electric field due to a uniformly charged sphere of radius $R$ as a function of the distance from its centre is represented graphically by
A)
B)
C)
D)
Explanation
(b) $E_{inside} = \frac{\rho}{3\varepsilon_{0}}r\ \ \ \ \ \lbrack r < R\rbrack$
$E_{outside} = \frac{\rho R^{3}}{3\varepsilon_{0}r^{2}}\ \ \ \ \lbrack r \geq R\rbrack$
$i.e.$ inside the uniformly charged sphere field varies linearly $(E \propto r)$ with distance and outside varies according to $E \propto \frac{1}{r^{2}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.