Answer to Question #311063 in Electric Circuits for abdi

Question #311063

A current of 50.0A

50.0A flows through a cross-section of a wire. After six hours, what is the total mass of all of the electrons which have passed through the cross-section? Give your answer in milligrams (mg) and to three significant figures.




1
Expert's answer
2022-03-15T10:36:09-0400

Solution.

I=50.0A;I=50.0A;

t=21600s;t=21600s;

q=It;q=It;

q=50.021600=1080000C;q=50.0\sdot21600=1080000C;

q=Ne    N=qe;q=Ne\implies N=\dfrac{q}{e};

N=10800001.61019=6750001019;N=\dfrac{1080000}{1.6\sdot10^{-19}}=675000\sdot10^{19};

m=Nme;m=Nm_e;

m=67500010199.11031=6.143106kg=6.143mg;m=675000\sdot10^{19}\sdot9.1\sdot10^{-31}=6.143\sdot10^{-6}kg=6.143mg;

Answer: m=6.143mg.m=6.143 mg.


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