calculate it assuming that all variables have uncertainty
Here, the variables are mz, N, I and a.
When 3 variables A,B and C are connected by multiplication or division to give D,
for example,
D = AB/C,
The uncertainty in D is given by the equation
δDD= (δAA)2+(δBB)2+(δCC)2
Where
is the uncertainty in A
is the uncertainty in B
is the uncertainty in C
The squares are added up, irrespective of whether they are multiplied or divided. If a term is squared in equation, that term in uncertainty doubles.
Here, the equation is
μ0,z= 2mzNIa2
So,
δμ0,z= μ0,z*(δmzmz)2+(δNN)2+(δII)2+2*(δaa)2
calculate it assuming that all variables have uncertainty Calculate δμο,
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