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Question

A thin spherical shell of radius 10 cm has a charge of \( 8 \, \mu\text{C} \). What is the electric
field at a point 5 cm from the center?

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Explanation

**Symmetric configurations** from Gauss's law produce characteristic fields. Uniformly charged infinite plane gives uniform field E = σ/(2ε₀) independent of distance due to planar symmetry, spherical shell acts as point charge outside E = kq/r² and zero inside, reflecting zero enclosed charge interior. Inside a thin spherical shell ( r < R ), E = 0 (Gauss’s law). Here, r = 5 cm < R = 10 cm , so E = 0 N/C . Substituting values gives 0 N/C, which matches expected magnitude for this electrostatic configuration, confirming Coulomb's and Gauss's principles and charge quantization consistency.

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