A line charge of length a2 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 C per unit length, then the total electric flux through all the faces of the cube will be . (Take, 0 as the free space permittivity) [figure]
- a2 0
- a8 0
- a4 0
- a16 0
Answer
(2) a8 0
Solution
The line charge q= a2 lies along edge BC; four identical cubes share this edge (end view).
[figure]
By symmetry each cube gets 14 of the total flux q 0
= 14 a2 0= a8 0
Answer: (2)