Question

A charge q is situated at the centre of an imaginary hemispherical surface. Using gauss theoram and symmetrt determine the electric flux due to this charge through hemispherical surface.

Answer 1

Dear Student,

since this surface is symmetrical . the flux through the hemisphere is half of flux through sphere.
$$\begin{gathered} fluxthroughsphere=\frac{q}{{\epsilon }_0} \\ fluxthroughhemisphere=\frac{q}{2{\epsilon }_0} \\ Regards \end{gathered}$$