If a charge Q is placed at one corner of a cube, what is the electric flux throu

Practice Questions

Q1
If a charge Q is placed at one corner of a cube, what is the electric flux through one face of the cube?
  1. Q/6ε₀
  2. Q/3ε₀
  3. Q/4ε₀
  4. Q/12ε₀

Questions & Step-by-Step Solutions

If a charge Q is placed at one corner of a cube, what is the electric flux through one face of the cube?
  • Step 1: Understand that electric flux is related to the charge and the area through which it passes.
  • Step 2: Recall that a cube has six faces.
  • Step 3: Recognize that if a charge Q is placed at one corner of the cube, it affects all six faces of the cube.
  • Step 4: By symmetry, the charge Q is shared equally among the six faces of the cube.
  • Step 5: Therefore, the electric flux through one face of the cube is Q divided by 6.
  • Step 6: The formula for electric flux is also divided by ε₀ (the permittivity of free space), so the final expression is Q/(6ε₀).
  • Gauss's Law – The relationship between electric flux and charge enclosed within a closed surface.
  • Symmetry in Electric Fields – Understanding how charge distribution affects electric flux through surfaces.
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