A charge q is placed at the center of one of the surface of a cube. The flux linked with the cube is :-
(A)4ϵ0q
(B)2ϵ0q✓ Correct
(C)8ϵ0q
(D)Zero
Answer: (B)
Solution
Place a mirror-image copy of the cube on the other side of the face that carries the charge q. Together the two cubes completely enclose the point charge q, so by Gauss's law the total flux through the combined (closed) surface is q/ϵ0. By symmetry this splits equally between the two cubes, so the flux through the original cube is
ϕ=2ϵ0q
JEE Main · 2024 · 04 Apr 2024 · Shift 2 · Single correct option