Question #294857

What is the electric flux passing through a Gaussian surface that contains 2 protons and 1 electron?


1
Expert's answer
2022-02-07T09:55:13-0500

The Gauss's law says

ϕ=EdA=qnetϵ0\phi=\oint {\bf E}d{\bf A}=\frac{q_{\rm net}}{\epsilon_0}

Hence, the electric flux passing through a Gaussian surface that contains 2 protons and 1 electron

ϕ=2eeϵ0=eϵ0=1.610198.851012=1.8108Nm2/C\phi=\frac{2e-e}{\epsilon_0}=\frac{e}{\epsilon_0}\\ =\frac{1.6*10^{-19 }}{8.85*10^{-12}}=1.8*10^{-8}\:\rm N\cdot m^2/C


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