In this lab you will get an experimental value for the ratio e/m for the electro

Question

In this lab you will get an experimental value for the ratio e/m for the electron from the slope s of a graph. You will use the relationship e/m = slope/const In the above equation the constant term const has an uncertainty delta(const) due to uncertainty delta a in the measurement of the radius a of the Helmholtz coils that produce the magnetic field B. Since the value of const depends on radius a as a2 , and all the other terms in const are free of (Note: You must use the substitutions Deltas for As , the absolute uncertainty in the slope deltas , and Delta a for Aa , the absolute uncertainty in the radius a .

Explanation / Answer

so

d(e/m)/(e/m) = sqrt( (dconst/const)^2 + (ds/s)^2)

but dconstant/const = 2 da/a

so d(e/m)/(e/m) = sqrt( ( 2 da/a)^2 + (ds/s)^2)

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