Net Charge of -59uC: #Electrons & Mass Increase

AI Thread Summary
A net charge of -59 microcoulombs indicates an excess of approximately 3.68 x 10^17 electrons, calculated using the charge of a single electron at -1.602 x 10^-19 coulombs. The mass increase from these excess electrons would be about 3.35 x 10^-14 kilograms, based on the mass of each electron being 9.109 x 10^-31 kilograms. This calculation assumes that the charge is solely due to excess electrons, disregarding other factors like protons or ions. The resulting mass increase is negligible and unlikely to be measurable in practical scenarios. Understanding these calculations highlights the relationship between charge and mass at the atomic level.
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A person accumulates a net charge of -59uC, how many excess electrons does this person get and by how much does her mass increase?
 
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Make the (simple-minded) assumption that the net charge is purely due to excess electrons. What's the charge of each electron? What's the mass of each electron?
 


The net charge of -59uC indicates that the person has an excess of 59 microcoulombs of negative charge. Since one electron has a charge of -1.602 x 10^-19 coulombs, this person would have approximately 3.68 x 10^17 excess electrons (59 x 10^-6 / -1.602 x 10^-19).

As for the mass increase, the mass of each electron is 9.109 x 10^-31 kilograms. Therefore, the person's mass would increase by approximately 3.35 x 10^-14 kilograms (3.68 x 10^17 x 9.109 x 10^-31).

It is important to note that this calculation assumes that the person's excess charge is solely due to the accumulation of electrons. In reality, there may be other factors at play such as the presence of protons or ions. Additionally, the mass increase may not be significant enough to be measured in everyday situations.
 
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