Calculate the number of electrons constituting one coulomb of charge?
Since , Q = n.e , where Q = amount of charge n = number of electrons ,e = charge on one electron For Q = 1C , => 1C = n × 1.6 × 10^-19 => n = 0.625 × 10^19 => n = 625 × 10^16
Calculate the number of electrons constituting one coulomb of charge?
**Number of Electrons in One Coulomb of Charge**
To calculate the number of electrons constituting one coulomb of charge, we need to consider the fundamental unit of charge and the charge of an electron.
**1. Fundamental Unit of Charge**
The fundamental unit of charge is the elementary charge, denoted by "e" and has a value of 1.6 x 10^-19 coulombs. This charge is the charge of a proton or an electron.
**2. Charge of an Electron**
An electron carries a negative charge, specifically -1.6 x 10^-19 coulombs. The charge of an electron is equal in magnitude but opposite in sign to the charge of a proton.
**Calculating the Number of Electrons**
To calculate the number of electrons constituting one coulomb of charge, we can use the relationship between the elementary charge and the charge of an electron.
Since the elementary charge is equal to the charge of an electron, we can determine the number of electrons in one coulomb by dividing the magnitude of one coulomb by the magnitude of the charge of an electron.
Mathematically, the number of electrons (Ne) can be calculated using the formula:
Ne = (Magnitude of 1 Coulomb) / (Magnitude of Charge of an Electron)
Substituting the values:
Ne = 1 Coulomb / 1.6 x 10^-19 Coulombs
Simplifying the expression:
Ne = (1 / 1.6) x (10^19 / 1)
Ne = 6.25 x 10^18 electrons
Therefore, one coulomb of charge is equivalent to approximately 6.25 x 10^18 electrons.
**Conclusion**
The number of electrons constituting one coulomb of charge is approximately 6.25 x 10^18 electrons. This calculation is based on the fundamental unit of charge, which is the elementary charge of 1.6 x 10^-19 coulombs, and the charge of an electron, which is -1.6 x 10^-19 coulombs. By dividing the magnitude of one coulomb by the magnitude of the charge of an electron, we can determine the number of electrons in one coulomb of charge.
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