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Question

Why does the electric field due to a uniformly charged infinite plane sheet remain constant with
distance from the sheet?

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Explanation

**Field due to infinite plane and shells** illustrates symmetry power. Infinite plane's field remains constant because distant contributions balance, while spherical shell interior field cancels symmetrically, leading to E = 0 inside, E = kQ/r² outside. For an infinite plane sheet, symmetry and Gauss’s law show that the field depends only on surface charge density, not distance. The field lines are parallel and uniform, as contributions from all parts of the infinite sheet balance out distance effects. Substituting values gives Infinite extent, which matches expected magnitude for this electrostatic configuration, confirming Coulomb's and Gauss's principles and charge quantization consistency.

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