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  • 04-05-2019
  • Physics
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Find the total electric charge of 1.7 kg of electrons. me=9.11×10−31kg, e=1.60×10−19C.

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skyluke89
skyluke89 skyluke89
  • 15-05-2019

Answer:

[tex]2.99\cdot 10^{11}C[/tex]

Explanation:

The mass of one electron is

[tex]m_e = 9.11\cdot 10^{-31}kg[/tex]

So the number of electrons contained in M=1.7 kg of mass is

[tex]N=\frac{M}{m_e}=\frac{1.7 kg}{9.11\cdot 10^{-31}kg}=1.87\cdot 10^{30}[/tex]

The charge of one electron is

[tex]e=1.60\cdot 10^{-19} C[/tex]

So, the total charge of these electrons is equal to the charge of one electron times the number of electrons:

[tex]Q=Ne=(1.87\cdot 10^{30})(1.6\cdot 10^{-19}C)=2.99\cdot 10^{11}C[/tex]

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