A large number of positive charges each of magnitude $q$ are placed along the $X$-axis at the origin and at…

A large number of positive charges each of magnitude $q$ are placed along the $X$-axis at the origin and at every $1 \mathrm{~cm}$ distance in both the directions. The electric flux through a spherical surface of radius $2.5 \mathrm{~cm}$ centred at the origin is
  1. $\frac{5 q}{\varepsilon_0}$
  2. $\frac{8 q}{\varepsilon_0}$
  3. $0$
  4. $\infty$

Solution

The given situation is shown below
From the above figure total charge enclosed by the sphere of radius $2.5 \mathrm{~cm}=5 q$ $\therefore$ According to gauss law, total electric flux passing through spherical surface, $\phi=\frac{\text { total charge enclosed }}{\varepsilon_0}$ $=\frac{5 q}{\varepsilon_0}$

Asked in: AP EAMCET 2022 (05 Jul Shift 1)

Practice more Electrostatics questions on Aicharya