Mass of the Electron

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Data

Data

Data

Calculations

Calculations

Calculations

Trial

V (V)

(cm)

(A)

(T)

v (m/s)

m kg

1

 123.7

.95 

2.81 

 1.88\times10^{-5}

 1.383\times10^9

 2.066\times10^{-35}

2

246 

.95 

4.28 

 2.87\times10^{-5}

 1.8\times10^9

 2.42\times10^{-35}

3

246 

.7 

4.49 

 4.08\times10^{-5}

 1.7\times10^9

 2.66\times10^{-35}

4

246 

.5 

4.15 

 5.28\times10^{-5}

 1.9\times10^9

 2.27\times10^{-35}

 

Sample Calculations:

B=\frac{\mu I}{2\pi r}=\frac{\left(\left(4\pi\times10^{-7}\:\left(\frac{Tm}{A}\right)\right)\left(2.81\:A\right)\right)}{2\pi\left(.0095\:m\right)}=1.88\times10^{-5}\:T

v=\frac{2V}{BR}=\frac{2\left(123.7\:V\right)}{\left(1.88\times10^{-5}\:T\right)\left(.0095\:m\right)}=1.383\times10^9\:\left(\frac{m}{s}\right)

m=\frac{qBr}{v}=\frac{\left(1.6\times10^{-19}\:C\right)\left(1.88\times10^{-5}\:T\right)\left(.0095\:m\right)}{1.383\times10^9\:\left(\frac{m}{s}\right)}=2.066\times10^{-35}\:\left(\frac{m}{s}\right)

Average mass:

\frac{\left(\left(2.066\times10^{-35}\:kg\right)+\left(2.42\times10^{-35}\:kg\right)+\left(2.66\times10^{-35}\:kg\right)+\left(2.27\times10^{-35}\:kg\right)\right)}{4}=3.139\times10^{-35}\:kg

Percent Error:

\frac{\left|\left(9.11\times10^{-31}\:kg\right)-\left(1.139\times10^{-35}\:kg\right)\right|}{\left(9.11\times10^{-31}\:kg\right)}=99.999\%

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