A line charge of length $\frac{'a'}{2}$ 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 is $\lambda C$ per unit length, then the total electric flux through all the faces of the cube will be ______.[Diagram: Cube ABCDEFGH with a line charge of length 'a'/2 at the center of edge BC, where A is bottom left front, B is bottom right front, C is bottom right back, D is bottom left back, E is top left front, F is top right front, G is top right back, H is top left back]. (Take, $\epsilon_0$ as the free space permittivity)

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$\frac{\lambda a}{8\epsilon_0}$

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