Physics307L F08:Schedule/Week 9 agenda/Error propagation/general

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Asssumption: Uncertainties in each variable [math]\displaystyle{ x_i }[/math] are independent.

[math]\displaystyle{ \delta q = \sqrt{\left (\frac{\partial q}{\partial x_1}\delta x_1 \right)^2 + \left (\frac{\partial q}{\partial x_2}\delta x_2 \right)^2 + ...} }[/math]

sum in quadrature

From Bradley's lab notebook:

[math]\displaystyle{ \frac{e}{m}= (3.29\times10^6\frac{A\cdot m^2}{Wb}) \frac{V}{B^2 r^2} }[/math]

What if the formula is really terrible?