Practice question
Question
A plane sheet has \( \sigma = 1.77 \times 10^{-11} \, \text{C/m}^2 \). What is the electric field near
it?
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. E = (sigma/2 ε₀) . E = (1.77 × 10⁻¹¹/2 × 8.854 × 10⁻¹²) = 1 N/C . Substituting values gives 1.0 N/C, which matches expected magnitude for this electrostatic configuration, confirming Coulomb's and Gauss's principles and charge quantization consistency. This aligns with NCERT Class 11 treatment, emphasizing conservation, symmetry and dimensional consistency useful for CBSE, NEET and CUET.
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