Tag: Gauss’s Law

Flux from a charged shell

jeefirst0 Comments

JEE Advanced 2019 Paper 1, Question 8

A charged shell of radius R carries a total charge Q. Given \Phi as the flux of electric field through a closed cylindrical surface of height h, radius r
and with its center same as that of the shell. Here, the center of the cylinder is a point on the axis of the cylinder which is equidistant from its top and bottom surfaces. Which of the following option(s) is/are correct?

[\epsilon_0 is the permittivity of free space]

  1. If h > 2R and r > R then \Phi = Q/\epsilon_0
  2. If h < 8R/5 and r = 3R/5 then \Phi = 0
  3. If h > 2R and r = 3R/5 then \Phi = Q/5\epsilon_0
  4. If h > 2R and r = 4R/5 then \Phi = Q/5\epsilon_0

Related problems:
Electric field from a sphere …

Continue Reading