Net inward and outward flux of a closed surface are ∅1 and ∅2. What is the charge enclosed inside the surface?
A. Zero
B. -(∅1-∅2)εo
C. (∅1-∅2)εo
D. \(\frac {(\phi_1 + \phi_2)}{\varepsilon_o}\)
Answer:B
Net inward and outward flux of a closed surface are ∅1 and ∅2. What is the charge enclosed inside the surface?
A. Zero B. -(∅1-∅2)εo C. (∅1-∅2)εo D. \(\frac {(\phi_1 + \phi_2)}{\varepsilon_o}\)
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.