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When a 10 μC charge is enclosed by a closed surface, the flux passing through the surface is φ. Now another 10 μC charge is placed inside the closed surface. The flux passing through the surface is then ______.

Asked in GUJCET 2018 · Gauss's law and enclosed charge

Answer: (3) 2φ

Step-by-step solution

Given: 10 μC inside gives flux φ; another +10 μC is added inside.

Idea: Gauss's law, φ=(qᵢₙ)/(ε₀), so the flux is proportional to the net enclosed charge.

Before: qᵢₙ=10 μC, flux φ.

After: qᵢₙ=10+10=20 μC, twice as much.

So the flux becomes 2φ.

Why the other options are wrong

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