Question

A charge $q$ is placed at the centre of the open end of a cylindrical vessel. The flux of the electric field through the surface of the vessel is

• A. Zero
• B. $\frac{q}{{\epsilon }_0}$
• C. $\frac{q}{2{\epsilon }_0}$
• D. $\frac{2q}{{\epsilon }_0}$

Answer 1

Answer: (C)

Total flux through the cylindrical gaussian surface $=\frac{q}{{\epsilon }_0}$
Flux through open cylinder $=\frac{1}{2}$ (Total flux)
$=\frac{q}{2{\epsilon }_0}$