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If a charge Q is placed at one corner of a cube, what is the electric flux throu
If a charge Q is placed at one corner of a cube, what is the electric flux through one face of the cube?
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Practice Questions
1 question
Q1
If a charge Q is placed at one corner of a cube, what is the electric flux through one face of the cube?
Q/6ε₀
Q/3ε₀
Q/4ε₀
Q/12ε₀
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By symmetry, the flux through one face of the cube is Q/6ε₀, as the charge is shared equally among the six faces.
Questions & Step-by-step Solutions
1 item
Q
Q: If a charge Q is placed at one corner of a cube, what is the electric flux through one face of the cube?
Solution:
By symmetry, the flux through one face of the cube is Q/6ε₀, as the charge is shared equally among the six faces.
Steps: 6
Show Steps
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).
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