Deriving absolute error equation

AI Thread Summary
The discussion focuses on deriving an error equation from the formula e/m = 2V/(B²R²). The user is struggling with how to handle constants in the derivation, particularly the "2V" term, and is unsure about treating e/m as a single variable. Another participant clarifies that when multiplying by a constant, one should add its relative error, noting that the relative or absolute error for constants is typically zero. This realization helps the original poster feel less confused about the derivation process. The conversation emphasizes the importance of understanding error propagation in mathematical equations.
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Homework Statement


I need to derive an error equation from the following equation...
\frac{e}{m} = \frac{2V}{B^{2}R^{2}}

Homework Equations


Just... basic... derivation rules...

The Attempt at a Solution


I did try, just don't know how to put the stupid attempt in LaTeX...

I'm stuck at the "2V" part because, in our package, there is no description on how to deal with constants. And I was told to treat \frac{e}{m} as a single variable. Thanks, guys :)
 
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AcecA said:

Homework Statement


I need to derive an error equation from the following equation...
\frac{e}{m} = \frac{2V}{B^{2}R^{2}}


Homework Equations


Just... basic... derivation rules...


The Attempt at a Solution


I did try, just don't know how to put the stupid attempt in LaTeX...

I'm stuck at the "2V" part because, in our package, there is no description on how to deal with constants. And I was told to treat \frac{e}{m} as a single variable. Thanks, guys :)

If you are dealing with error propagation then where you are multiplying by a constant you add its relative error like anything else ... but of course it's relative error or absolute error for that matter is necessarily 0.
 
Okie. Now I feel stupid at not realizing something so simple. Thanks :)
 
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