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Prove-S-E-dS-enc-0-E-r-r-3-




Question Number 222365 by wewji12 last updated on 23/Jun/25
Prove  ∮_( ∂S)  E^→ ∙dS^→ =(ρ_(enc) /𝛜_0 )  E^→ =(r^→ /r^3 )
$$\mathrm{Prove} \\ $$$$\oint_{\:\partial\mathcal{S}} \:\overset{\rightarrow} {\boldsymbol{\mathrm{E}}}\centerdot\mathrm{d}\overset{\rightarrow} {\mathcal{S}}=\frac{\rho_{\mathrm{enc}} }{\boldsymbol{\varepsilon}_{\mathrm{0}} } \\ $$$$\overset{\rightarrow} {\boldsymbol{\mathrm{E}}}=\frac{\overset{\rightarrow} {\boldsymbol{\mathrm{r}}}}{\boldsymbol{\mathrm{r}}^{\mathrm{3}} }\: \\ $$
Answered by MrGaster last updated on 24/Jun/25

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