Respuesta :
Answer:
[tex]n=6.25\times 10^{18}[/tex]
Explanation:
The charge on the electron is given as,
[tex]q=-1C[/tex]
And we know that the formula for charge is,
[tex]q=ne[/tex]
Here, [tex]e=-1.6\times 10^{-19}C[/tex]
Therefore,
[tex]n=\frac{-1C}{-1.6\times 10^{-19}C} \\n=0.625\times 10^{19} \\n=6.25\times 10^{18}[/tex]
Therefore the number of electron which necessary to produce 1 C of negative charge is [tex]n=6.25\times 10^{18}[/tex].
The number of electrons required for [tex]1\text{C}[/tex] charge is [tex]\boxed{6.25 \times {{10}^{18}}}[/tex] electrons.
Further Explanation:
An electron is considered to be the most basic unit of charge. The amount of charge carried by an electron is the minimum quantized charge. The electrons carry the negative charge whereas the protons carry the same amount of the positive charge.
The charge on an electron is [tex]1.6 \times {10^{ - 19}}\,{\text{C}}[/tex].
Write the expression for the amount of charge carried by a number of electrons.
[tex]q = n \times e[/tex]
Here, [tex]q[/tex] is the amount of charge, [tex]n[/tex] is the number of electron and [tex]e[/tex] is the amount of charge on an electron.
Substitute the value of the amount of charge and the charge on an electron in above expression.
[tex]\begin{aligned}1\text{C}&=n\times(1.6\times10^{-19}\text{C})\\n&=\dfrac{1}{1.6\times10^{-19}}\\&=6.25\times10^{18}\end{aligned}[/tex]
Thus, the number of electrons required for [tex]1\text{C}[/tex] charge is [tex]\boxed{6.25\times10^{18}}[/tex] electrons.
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Answer Details:
Grade: High School
Chapter: Electric charge
Subject: Physics
Keywords: Electron, charge, smallest unit, total charge, 1 coulomb, 1.6x10^-19 C, electrons are necessary, negative charge.
