Mass of the Electron

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Data Table

    Data     Calculations  
Trial V R I B v m
1 121.0 V 0.0055 m 1.19 A 8.28\times10^{-4} T 5.31\times10^7 m/s 1.37\times10^{-32} kg
2 120.8 V 0.0090 m 0.90 A 5.53\times10^{-4} T 4.85\times10^7 m/s 1.64\times10^{-32} kg
3 121.1 V 0.0080 m 0.94 A 5.77\times10^{-4} T 5.25\times10^7 m/s 1.41\times10^{-32} kg
4 120.8 V 0.0070 m 1.09 A 6.69\times10^{-4} T 5.16\times10^7 m/s 1.45\times10^{-32} kg
5 120.0 V 0.0100 m 0.73 A 4.48\times10^{-4} T 5.36\times10^7 m/s 1.34\times10^{-32} kg


Data Analysis/Sample Calculations

a) B=\mu_0nI=4\pi\times10^7\:\frac{T\cdot m}{A}\times\left(0.153\:m\:\times3620\:\frac{turns}{m}\right)\times1.19\:A=8.28\times10^{-4}\:T

b) v=\frac{2V}{BR}=2\cdot\frac{120.0V}{8.28\times10^{-4}\:T\cdot0.0055m}=5.31\times10^7 m/s

c) m=\frac{qBR}{v}=\frac{1.602\times10^{19}\:C\:\cdot\:8.28\times10^{-4}\:T\:\cdot\:0.0055\:m}{5.31\times10^7m/s\:}=1.37\times10^{-32}\:kg

d) m_{avg}=\sum\frac{m}{n}=\frac{1.37\times10^{-32}\:+1.64\times10^{-32}+1.41\times10^{-32}+1.45\times10^{-32}+1.34\times10^{-32}\:kg}{5}=1.44\times10^{-32}\:kg


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