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Anonymous asked in Science & MathematicsPhysics · 2 months ago

flux magnitude?

An electron is positioned 0.5 m above the center of a square plane. The plane has a length of 1.0 m on all 4 sides. Determine the magnitude of the flux through the plane.

1) 2.0x10-8Nm^2/C

2) 3.0x10-9Nm^2/C

3) 4.9x10-9Nm^2/C

4) 6.8x10-8Nm^2/C

1 Answer

  • NCS
    Lv 7
    2 months ago
    Favorite Answer

    The dimensions are such that we can imagine the electron at the center of a cube of side length 1.0 m. By Gauss' Law, the flux through the entire cube is

    Φ = Q / ε₀ = 1.6e-19C / 8.85e-12 C²/N·m² = 1.81e-8 N·m²/C

    The flux through any one side is 1/6 of that, so your answer is

    3.0e-9 N·m²/C, #2.

    Hope this helps!

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