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Asked in GSEB Board July 2018 · Gauss's law and enclosed charge
Given: q₁=10 μC inside gives flux φ; a second charge q₂=-5 μC is added inside.
Idea: Gauss's law. The flux through a closed surface depends only on the net charge enclosed: φ=(qᵢₙ)/(ε₀).
Before: φ=(10 μC)/(ε₀)
After: qᵢₙ=10+(-5)=5 μC, so φ'=(5 μC)/(ε₀)
(φ')/φ=5/(10)=1/2
So the flux becomes φ/2.
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