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Question

A closed surface has a net flux of \( 5.65 \times 10^5 \, \text{Nm}^2/\text{C} \). What is the charge
enclosed?

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Explanation

**Closed-surface flux** depends solely on net charge inside, not external charges. This principle allows flux calculation without detailed field integration and forms cornerstone for symmetric charge distributions. Φ = (q/ε₀) . q = Φ ε₀ = 5.65 × 10⁵ × 8.854 × 10⁻¹² = 5 × 10⁻⁶ C = 5 μC . Substituting values gives 5.0 μC, 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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