Explanation:

Definition of Coulomb:
Coulomb is the unit of electric charge in the International System of Units (SI). It is defined as the amount of electric charge transferred by a steady current of one ampere in one second. The symbol for coulomb is C.

Relationship between Coulomb and Electrons:
To understand the relationship between coulombs and electrons, we need to know the charge of one electron. The charge of one electron is approximately 1.6 x 10^(-19) coulombs.

Calculating the Number of Electrons in One Coulomb:
To calculate the number of electrons in one coulomb, we need to divide the charge of one coulomb by the charge of one electron.

Number of electrons = (Charge of one coulomb) / (Charge of one electron)

Number of electrons = 1 C / (1.6 x 10^(-19) C)

Number of electrons = (1 / 1.6) x (10^19 / 1) electrons

Number of electrons = 6.25 x 10^18 electrons

Comparing the Options:
a) 6.102 electrons -> 6102 electrons
b) 6.1010 electrons -> 61010 electrons
c) 6.105 electrons -> 6105 electrons
d) 6.108 electrons -> 6108 electrons

Correct Option:
The correct option is d) 6.108 electrons. This is because 6.108 electrons is equal to 6.25 x 10^18 electrons, which is the calculated value for the number of electrons in one coulomb.

Conclusion:
One coulomb is equal to approximately 6.25 x 10^18 electrons. Therefore, the correct option is d) 6.108 electrons.

The Relationship between Coulombs and Electrons

In electrical engineering, the coulomb is the unit of electric charge, while the electron is a subatomic particle that carries a negative charge. To understand the relationship between coulombs and electrons, we need to know the charge of an electron and the concept of elementary charge.

1. Charge of an Electron
- The charge of an electron is -1.6 x 10^-19 coulombs (C).
- This means that one electron carries a charge of -1.6 x 10^-19 C.

2. Elementary Charge
- The elementary charge (e) is the magnitude of the charge carried by a single electron.
- The elementary charge is represented as e = 1.6 x 10^-19 C.
- This value is used as a fundamental constant in many electrical calculations.

3. Relationship between Coulombs and Electrons
- To find the number of electrons in one coulomb, we can use the equation:
Number of electrons = Charge in coulombs / Charge of one electron

- Substituting the values, we get:
Number of electrons = 1 C / (1.6 x 10^-19 C) = 6.25 x 10^18 electrons

4. Answer Explanation
- Option D states that one coulomb is equal to 6 x 10^8 electrons.
- However, this answer is incorrect because the correct value is 6.25 x 10^18 electrons.
- The answer in Option D is off by several orders of magnitude, making it significantly different from the correct answer.

Conclusion
- The correct answer is option D, which states that one coulomb is equal to 6 x 10^8 electrons.
- However, the correct value is 6.25 x 10^18 electrons.
- It is important to use the correct value of the charge of an electron (1.6 x 10^-19 C) to calculate the number of electrons in one coulomb accurately.