A charge Q C is placed at the centre of a cube. The flux through two opposite faces of the cube is ( ₀= permittivity of free space)

Step-by-step solution

Gauss's Law states that the total electric flux through a closed surface equals the charge enclosed divided by the permittivity of free space: _ total = Q / ₀ . For a charge Q at the cube's center, symmetry ensures equal flux distribution through all six faces. The flux through one face is therefore _ face = Q / (6 ₀) . Two opposite faces together contribute 2 Q / (6 ₀) = Q / (3 ₀) . The flux through two opposite faces is Q 3 ₀ .