Total number of lines of force emanating from a point charge +Q coulomb is

If E be the intensity of electric field on the surface of an imaginary sphere of radius R at the centre of which a point charge Q coul. Is placed, Then $\mathrm{E}=\frac{1}{4{\mathrm{\pi \epsilon }}_0}\frac{\mathrm{Q}}{{\mathrm{R}}^2}$

If N be the total number of lines of force emanating from ‘Q’, Then $\mathrm{E}=\frac{\mathrm{N}}{4{\mathrm{\pi R}}^2}$

$\therefore \frac{\mathrm{N}}{4{\mathrm{\pi R}}^2}=\frac{\mathrm{Q}}{4{\mathrm{\pi \epsilon }}_0{\mathrm{R}}^2}\Rightarrow \mathrm{N}=\frac{\mathrm{Q}}{{\mathrm{\epsilon }}_0}$