deletions | additions       diff --git a/magnetoresistance.tex b/magnetoresistance.tex  index d114286..12af302 100644  --- a/magnetoresistance.tex  +++ b/magnetoresistance.tex 
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\end{equation}  Let's now look at equations \eqref{eq:currentx-B, eq:currenty-B} \eqref{eq:currentx-B}, \eqref{eq:currenty-B}  in the context of a though experiment. Assume we apply a magnetic field directed along the $z$ axis and an electric field directed along the $x$ axis to a conductive medium. We also allow the free flow of charge carriers along the x axis by attaching contacts at two ends of the sample (see Figure \ref{fig:thought-experiment}). Initially, $E_y$ is zero. However, since the magnetic field drives a current in the $y$ direction and there is no mechanism for charge carriers moving in the $y$ direction to escape the sample, they will accumulate at the surface, creating an electric field counteracting $j_y$. This will decrease the magnitude of $j_y$, until, in equilibrium $j_y = 0$. From equation \eqref{eq:current-B}, this means that   \begin{equation}