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UncertaintyMan
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My goal is to find the uncertainty [itex]δd[/itex] in the following equation.
[itex]d=C_1 \frac{1}{\sqrt{V}} \frac{1}{D}[/itex]
My best guess on how to calculate [itex]δd[/itex] is
[itex]\frac{δd}{d}=|C_1| \sqrt{(\frac{δV}{V})^2+(\frac{δD}{D})^2 }[/itex]
... then plug in all the known values and solve for [itex]δd[/itex]
...Unfortunately I have no resources to tell me if I'm doing this right. I appreciate any helpful pointers any of you may have, I'm a big time noob when it comes to error analysis.
For those of you who are curious, this is from a Bragg Scattering lab and [itex]d[/itex] represents the distance between atoms in a polycrystalline graphite crystal.
[itex]d=C_1 \frac{1}{\sqrt{V}} \frac{1}{D}[/itex]
- [itex]C_1[/itex] is the collection of constants [itex]\frac{2Lhc}{\sqrt{2m_e c^2 }}[/itex]
- [itex]D[/itex] is a value measured in meters with an uncertainty [itex]δD = 0.001 m[/itex]
- and [itex]V[/itex] is a value measured in volts with an uncertainty [itex]δV = 100 V[/itex]
My best guess on how to calculate [itex]δd[/itex] is
[itex]\frac{δd}{d}=|C_1| \sqrt{(\frac{δV}{V})^2+(\frac{δD}{D})^2 }[/itex]
... then plug in all the known values and solve for [itex]δd[/itex]
...Unfortunately I have no resources to tell me if I'm doing this right. I appreciate any helpful pointers any of you may have, I'm a big time noob when it comes to error analysis.
For those of you who are curious, this is from a Bragg Scattering lab and [itex]d[/itex] represents the distance between atoms in a polycrystalline graphite crystal.
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