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Ning Zhu edited subsection_Slope_Method_The_direct__.tex
over 8 years ago
Commit id: 618434d7d68c2f14897965f21a602f8369821a60
deletions | additions
diff --git a/subsection_Slope_Method_The_direct__.tex b/subsection_Slope_Method_The_direct__.tex
index 19d10b5..055774a 100644
--- a/subsection_Slope_Method_The_direct__.tex
+++ b/subsection_Slope_Method_The_direct__.tex
...
%V=V0(½)(1+cos(2(θ1-θ0)))
%which is V=V0cos2(θ1-θ2), giving us the form we should have initially fit to.
As $$V_{c}=\frac{1}{L}\left(\frac{d\theta}{dV_{pd}}\right)_{at ?}\frac{dV_{pd}}{dB}$$
%As shown in Figure 2:
$$V=0.000443B+0.127$$
Therefore:
$$\frac{\Delta %$$V=0.000443B+0.127$$
%Therefore:
%$$\frac{\Delta V}{\Delta B}=0.000443\frac{V}{mT}=0.443\frac{V}{T}$$
As %As shown in Figure 1:
$$V=\frac{0.021\times %$$V=\frac{0.021\times (1+cos(\frac{2\pi\times(\theta-162)}{180}))}{2}$$
Taking %Taking the derivative at $\theta=117$ degrees:
$$\frac{\Delta %$$\frac{\Delta V}{\Delta \theta}=\frac{0.21}{2}\times(-sin(2\frac{\pi}{180}(-45)))=0.21V$$
$$\frac{\Delta\theta}{\Delta %$$\frac{\Delta\theta}{\Delta B}=\frac{\Delta V}{\Delta B} \times \frac{\Delta \theta}{\Delta V}=0.443\frac{V}{T}\times\frac{1 radian}{0.21V}=2.1095\frac{radians}{T}$$
$$V_{c}=\frac{1}{L}\times %$$V_{c}=\frac{1}{L}\times \frac{\Delta\theta}{\Delta B}=\frac{1}{0.1}\times2.1095\frac{radians}{T}=21.095\frac{radians}{T \cdot m}$$