Q. Consider a thin spherical shell of radius $R$ consisting of uniform surface charge density$\sigma$. The electric field at a point of distance $x$ from its centre and outside the shell is
A) inversely proportional to$\ \sigma$
B) directly proportional to$x^{2}$
C) directly proportional to$\ \ \sigma$
D) inversely proportional to$x^{2}$
Explanation
(d) Electric field at a distance $x$ from the centre
$E = \frac{1}{4\pi\varepsilon_{0}}\frac{q}{x^{2}}$
$\Longrightarrow E \propto \frac{1}{x^{2}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.