Q. The magnitude of electric field $E$ in the annular region of a charged cylindrical capacitor

A) Is same throughout
B) Is higher near the outer cylinder than near the inner cylinder
C) Varies as $1/r,$ where $r$ is the distance from the axis
D) Varies as ${1/r}^{2}$, where $r$ is the distance from the axis
Explanation

(c) The magnitude of electric field in the annular region of a charged cylindrical capacitor is given by $E = \frac{1}{2\pi\varepsilon_{0}}\frac{\lambda}{r}$ where $\lambda$ is the charge per unit length and $r$ is the distance from the axis of the cylinder. Thus $E \propto \frac{1}{r}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.