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

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Question: If a charge Q is placed at one corner of a cube, what is the electric flux through one face of the cube?

Options:

Correct Answer: Q/6ε₀

Solution:

By symmetry, the flux through one face of the cube is Q/6ε₀, as the charge is shared equally among the six faces.

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

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.