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Deriving the Differential Form of Ampere's Law
Prompt
“Use Stoke's theorem, $$ \int_{inside} \left( \vec{\nabla} \times \vec{F} \right) \cdot d\vec{\sigma}=\int_{loop} \vec{F} \cdot d\vec{r}$$
to derive the differential form of Ampere's Law”
$$\int{\vec{B}\cdot{\vec{dr}}}=\mu_{0}I_{encl}$$
Context
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