deletions | additions       diff --git a/begin_eqnarray_c_v_frac_1__.tex b/begin_eqnarray_c_v_frac_1__.tex  index 8383fbf..57426b5 100644  --- a/begin_eqnarray_c_v_frac_1__.tex  +++ b/begin_eqnarray_c_v_frac_1__.tex 
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method 1& = & \frac{1}{L}\frac{\Delta \theta}{\Delta B} \\  method 2& = & \frac{1}{L}\left(\frac{d\theta}{dV_{pd}}\right)_{at ?}\frac{dV_{pd}}{dB}\\  method 3& = & \frac{1}{L}\left(\frac{d\theta}{dV_{pd}}\right)_{at ?} \frac{V_{pd, RMS}}{B_{RMS}}   \end{eqnarray} \subsection{Direct Method Calculation}  \begin{eqnarray}  V_{c}&=&\frac{1}{L}\times \frac{\Delta\theta}{\Delta B}\\  %$$\frac{\Delta\theta}{\Delta B}=\frac{\Delta V}{\Delta B} \times \frac{\Delta \theta}{\Delta V}$$  \theta_{B}&=&104 degrees; \theta_{0}=108 degrees\\  \Delta\theta&=&\theta_{B}-\theta_{0}=-0.069 radians\\  \Delta B&=&-3A\times 11.1\frac{mT}{A}=-33.3mT\\  \frac{\Delta\theta}{\Delta B}&=&\frac{-0.069radians}{-33.3mT}=0.00207\frac{radians}{mT}=2.07\frac{radians}{T}\\  V_{c}&=&\frac{1}{L}\times \frac{\Delta\theta}{\Delta B}=\frac{1}{0.1m}\times 2.07\frac{radians}{T}=20.7\frac{radians}{T \cdot m}  \end{eqnarray}