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Question

A charge Q is kept at the corner of a cube. Electric flux passing through one of those faces not touches that charge is:-
  1. Q24ϵ0
  2. Q3ϵ0
  3. Q8ϵ0
  4. Q6ϵ0

A
Q3ϵ0
B
Q8ϵ0
C
Q6ϵ0
D
Q24ϵ0
Solution
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As we know that, total flux due to a charge enclosed in a region is given as ϕ=Qε0 (Gauss's law)
Here, the charge is on a corner of each of the 8 cubes.
Hence, an equal amount of flux will spread outwards through each of the cubes due to symmetry.

Hence, the magnetic flux through each cube is given as ϕ=Q8ε0.
Since three faces don't have any effect, the flux will be divided into three parts again.

Therefore, total flux will become, ϕ=Q24ε0
The correct option A.

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