Question #298341

What is the total electric flux through a closed surface containing a 2.0 μC charge?

1
Expert's answer
2022-02-16T08:34:53-0500

Given:

q=2.0106Cq=2.0*10^{-6}\:\rm C

ϵ0=8.851012F/m\epsilon_0=8.85*10^{-12}\:\rm F/m


The Gauss's law says

ϕ=EdA=qϵ0\phi=\oint {\bf E}d{\bf A}=\frac{q}{\epsilon_0}

Hence

ϕ=2.0106C8.851012F/m=2.3105Vm\phi=\frac{2.0*10^{-6}\:\rm C}{8.85*10^{-12}\:\rm F/m}=2.3*10^5\: \rm V\cdot m


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