deletions | additions       diff --git a/magnetoresistance.tex b/magnetoresistance.tex  index 1d14b76..08fa992 100644  --- a/magnetoresistance.tex  +++ b/magnetoresistance.tex 
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Let's now look at equations \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.  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 equations \eqref{eq:currentx-B} and \eqref{eq:currenty-B} \,  \begin{equation}  \begin{split}  E_y = \omega_\textrm{c} \tau E_x \\