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Larson Lovdal edited section_The_Biot_Savart_Law__.tex
over 8 years ago
Commit id: ee627855ab7088ee4f26b140572228e429e07d5e
deletions | additions
diff --git a/section_The_Biot_Savart_Law__.tex b/section_The_Biot_Savart_Law__.tex
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--- a/section_The_Biot_Savart_Law__.tex
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\begin{equation}\label{eq2}
\vec{B}=\int{\frac{\mu_0}{4\pi}\frac{\textit{I}\textit{d}\vec{l}\times\hat{\textit{r}}} {\textit{r}^2}\cos{\theta}}
\end{equation}
We can use figure \ref{fig2} to simplify this integral by substituting in constant values. The magnitude $\textit{r}=\sqrt{\textit{R}^2+\textit{z}^2}$ and
$\cos{\theta}={\textit{R}}\{\textit{r}}=\textit{R}\\sqrt{\textit{R}^2+\textit{z}^2$. $\cos{\theta}={\textit{R}}\{\textit{r}}$=\textit{R}\\sqrt{\textit{R}^2+\textit{z}^2$.