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Net inward and outward flux of a closed surface are φ1 and φ2. What is the charge enclosed inside the surface?(a) Zero(b) -(∅1-∅2)εo(c) (∅1-∅2)εo(d) \(\frac {(\emptyset_1 + \emptyset_2)}{\varepsilon_o}\)This question was addressed to me during an internship interview.This is a very interesting question from Gauss’s Law in division Charges and Fields of Physics – Class 12

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Correct option is (b) -(∅1-∅2)εo

The best explanation: The net outward flux from the surface is (∅2-∅1) = -(∅1-∅2). We KNOW, according to GAUSS’s Law, net outward flux coming out of a CLOSED surface is \(\frac {1}{\varepsilon_o}\) times the CHARGE stored in it. Therefore charge stored in the surface = εo*flux coming out of the surface = (∅2-∅1)εo.



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