A line charge of length a/2 is kept at the center of an edge BC of a cube ABCDEFGH having edge length 'a' as shown in the figure. If the density of…

A line charge of length $\displaystyle \frac{\mathrm{a}}{2}$ is kept at the center of an edge BC of a cube ABCDEFGH having edge length 'a' as shown in the figure. If the density of line charge is $\displaystyle \lambda$ C per unit length, then the total electric flux through all the faces of the cube will be $\displaystyle \_\_\_\_$. (Take, $\displaystyle \epsilon_0$ as the free space permittivity)