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A point charge Q is placed exactly at one of the corners of a cube. What is the electric flux passing through one of the faces of the cube that does not contain the corner where the charge is placed?

Options

  1. AQ 8 ₀
  2. BQ 24 ₀
  3. CQ 6 ₀
  4. DQ 48 ₀

Correct answer

B. Q 24 ₀

Step-by-step solution

To apply Gauss's law, we can construct a symmetric Gaussian surface. Imagine 8 identical cubes arranged to form a larger cube such that the charge Q is exactly at the center of this large cube. The total flux passing through the large cube is Q ₀ . By symmetry, the flux passing through one of the small cubes is 1 8 of the total flux, which is Q 8 ₀ . The small cube has 6 faces. Three of these faces meet at the corner where the charge is placed. The electric field lines originating from the charge are parallel to th

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