Larson Lovdal edited section_The_Biot_Savart_Law__.tex  over 8 years ago

Commit id: ee627855ab7088ee4f26b140572228e429e07d5e

deletions | additions      

       

\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$.