Q. A parallel plate capacitor made of circular plates is being charged such that the surface charge density on its plates is increasing at a constant rate with time. The magnetic field arising due to displacement current is:
A) zero at all places
B) constant between the plates and zero outside the plates.
C) non-zero everywhere with maximum at the imaginary cylindrical surface connecting peripheries of the plates.
D) zero between the plates and non-zero outside.
Explanation
[Solution by Claude - not from source] Displacement current density between the plates is constant, so inside $B\propto r$; outside the same total current gives $B\propto1/r$. $B$ is non-zero everywhere, maximum at the plate periphery. Answer (3).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.