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Asked in GSEB Board March 2022 · Gauss's law and enclosed charge
Given: number of field lines (the flux) N = 1.13×10¹¹, ε₀ = 8.85×10⁻¹² C² N⁻¹ m⁻².
Idea: in this convention the number of lines leaving a charge is its total flux, and by Gauss's law the flux out of any closed surface round q is q/(ε₀).
q/(ε₀) = 1.13×10¹¹
q = (1.13×10¹¹)(8.85×10⁻¹²) = 1.00 C
So the charge is 1 C.
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