A point charge is situated at the exact geometric center of a closed cube of side . What is the total electric flux passing through one face of the cube?

Answer and explanation

Correct answer: B.

  1. Step 1: By Gauss's Law, the total electric flux emerging from all six symmetric faces of the enclosed cube is .
  2. Step 2: By symmetry, the electric flux through any single face is .
Answer
.
Why not the others: is the total flux through the entire cube; is the flux through one face when the charge is located at a cube vertex; and is the flux through an adjacent face for a corner charge.

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