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#infinite plane

3 public questions tagged with this topic.

Field Due to Special Charge Configurations

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

**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 electro

Ref: NCERT > Physics Book > Electric Charges and Fields > Field Due to Special Charge Configurations

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Continuous Charge Distribution

Why does the electric field near an infinite charged plane not depend on the nature of the material it’s made of?

**Line charge concept** extends point charge to infinite wire where symmetry dictates radial field proportional to λ and inversely proportional to distance r. λ = q/L for uniform case, field direction depends on sign of λ, outward for positive. The field depends only on the surface charge density ( sigma/2ε₀ ), as derived from Gauss’s law for an infinite plane. The material affects charge distribution, but for a given sigma , the field is universal, assuming infinite extent and uniformity. Substituting values gives Surface charge density, which matches expected magnitude for this electrostatic

Ref: NCERT > Physics Book > Electric Charges and Fields > Continuous Charge Distribution

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Electric Field and Electric Field Lines

Why does the electric field due to a uniformly charged infinite plane remain unaffected by the distance from the plane?

**Field intensity** at distance r follows inverse-square law E = (1/4π ε₀)·q/r². At midpoint between two charges, fields superpose vectorially; if charges opposite, fields add in same direction, enhancing magnitude to E = E₁ + E₂. The infinite extent of the plane ensures uniform field distribution, as contributions from all parts balance out distance effects. Gauss’s law confirms the field is sigma/2ε₀ , independent of distance due to symmetry. Substituting values gives Infinite extent, which matches expected magnitude for this electrostatic configuration, confirming Coulomb's and Gauss's prin

Ref: NCERT > Physics Book > Electric Charges and Fields > Electric Field and Electric Field Lines

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