Calculate the field due to an electric dipole of length $10 \mathrm{cm}$ and consisting of charges of $\pm 100 \mu C$ at a point $20 \mathrm{cm}$ from each charge.

A charge $q$ is situated at the centre of an imaginary hemispherical surface, as shown in Fig. Using Gauss's theorem and symmetry considerations, determine the electric flux due to this charge through the hemispherical surface.

A hollow cylindrical box of length $1 \mathrm{m}$ and area of cross-section $25 {\mathrm{cm}}^2$ is placed in a three-dimensional co-ordinate system as shown in Fig. The electric field in the region is given by $\overrightarrow{E}=50 x\hat{i}$,

Where E is in ${\mathrm{NC}}^{-1}$ and $x$ is in meters.

Find net flux through the cylinder