Electric Charge and Coulomb's Law Concepts

1. What is the fundamental rule regarding electric charge?

Electric charge can be created but not destroyed

No case of the creation or destruction of net electric charge has ever been found

Electric charge can be destroyed under extreme conditions

Electric charge can be divided into fractions

Electric charge is conserved, meaning that in any isolated system, the total amount of electric charge remains constant over time. This principle is supported by extensive experimental evidence, which shows that while charges can move and change form, they cannot be created or destroyed. Thus, the net electric charge before and after any process remains the same, reinforcing the idea that charge conservation is a fundamental principle in physics.

Explanation

Electric charge is conserved, meaning that in any isolated system, the total amount of electric charge remains constant over time. This principle is supported by extensive experimental evidence, which shows that while charges can move and change form, they cannot be created or destroyed. Thus, the net electric charge before and after any process remains the same, reinforcing the idea that charge conservation is a fundamental principle in physics.

2. What is 1 Coulomb (C) defined as?

The charge of a single electron

The charge that passes any section of a conductor in one second when a current of 1A is flowing

The force between two unit charges separated by 1 meter

The energy stored in an electric field of 1 volt

1 Coulomb (C) is defined as the amount of electric charge that flows through a conductor when a current of 1 Ampere (A) is maintained for one second. This definition highlights the relationship between charge, current, and time, establishing a clear and practical way to quantify electric charge in circuits. The other options describe different electrical concepts, such as the charge of an electron or the force between charges, but do not accurately define what a Coulomb represents in terms of current flow.

Explanation

1 Coulomb (C) is defined as the amount of electric charge that flows through a conductor when a current of 1 Ampere (A) is maintained for one second. This definition highlights the relationship between charge, current, and time, establishing a clear and practical way to quantify electric charge in circuits. The other options describe different electrical concepts, such as the charge of an electron or the force between charges, but do not accurately define what a Coulomb represents in terms of current flow.

3. What is the charge of a single electron?

1.602 x 10⁻¹⁶ C

1.602 x 10⁻²¹ C

1.602 x 10⁻¹⁹ C

1.602 x 10⁻¹⁷ C

The charge of a single electron is a fundamental physical constant, measured to be approximately -1.602 x 10⁻¹⁹ coulombs. This value is crucial in understanding electric charge and interactions in atomic and subatomic physics. It is negative, indicating that electrons carry a negative charge, which plays a key role in the formation of atoms, chemical bonds, and electricity. The other options provided do not accurately represent the established value for the electron's charge.

Explanation

The charge of a single electron is a fundamental physical constant, measured to be approximately -1.602 x 10⁻¹⁹ coulombs. This value is crucial in understanding electric charge and interactions in atomic and subatomic physics. It is negative, indicating that electrons carry a negative charge, which plays a key role in the formation of atoms, chemical bonds, and electricity. The other options provided do not accurately represent the established value for the electron's charge.

4. How many electrons (or protons) make up 1 Coulomb of charge?

6.24 x 10¹⁸

6.24 x 10⁸

1.602 x 10¹⁹

9.11 x 10³¹

One Coulomb of charge is defined as the amount of charge transported by a constant current of one ampere in one second. Since the charge of a single electron (or proton) is approximately 1.602 x 10⁻¹⁹ Coulombs, to find the number of electrons or protons in one Coulomb, you divide 1 Coulomb by the charge of one electron. This calculation yields about 6.24 x 10¹⁸, indicating that approximately 6.24 quintillion electrons or protons constitute one Coulomb of charge.

Explanation

One Coulomb of charge is defined as the amount of charge transported by a constant current of one ampere in one second. Since the charge of a single electron (or proton) is approximately 1.602 x 10⁻¹⁹ Coulombs, to find the number of electrons or protons in one Coulomb, you divide 1 Coulomb by the charge of one electron. This calculation yields about 6.24 x 10¹⁸, indicating that approximately 6.24 quintillion electrons or protons constitute one Coulomb of charge.

5. According to Coulomb's Law, the force between two charges is ______ proportional to the square of the distance between them.

Coulomb's Law states that the electrostatic force between two charged objects decreases with the square of the distance separating them. This means that as the distance increases, the force becomes weaker, demonstrating an inverse relationship. Specifically, if the distance doubles, the force is reduced to one-fourth of its original value. Thus, the force is inversely proportional to the square of the distance, indicating that greater separation leads to significantly weaker interactions between the charges.

Explanation

Coulomb's Law states that the electrostatic force between two charged objects decreases with the square of the distance separating them. This means that as the distance increases, the force becomes weaker, demonstrating an inverse relationship. Specifically, if the distance doubles, the force is reduced to one-fourth of its original value. Thus, the force is inversely proportional to the square of the distance, indicating that greater separation leads to significantly weaker interactions between the charges.

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6. What is the value of Coulomb's constant (kₑ)?

8.8542 x 10⁻¹² N·m²/C²

8.9875 x 10⁹ N·m²/C²

6.674 x 10⁻¹¹ N·m²/C²

9.109 x 10⁻³¹ N·m²/C²

Coulomb's constant (kₑ) quantifies the electrostatic force between two point charges. Its value, approximately 8.9875 x 10⁹ N·m²/C², is derived from experimental measurements and is crucial in Coulomb's law, which describes how the force between charged objects varies with distance and charge magnitude. This constant is fundamental in electrostatics, allowing calculations of forces in various applications, including electrical engineering and physics. The other options represent different physical constants, such as the permittivity of free space or gravitational constant, which are not relevant to Coulomb's law.

Explanation

Coulomb's constant (kₑ) quantifies the electrostatic force between two point charges. Its value, approximately 8.9875 x 10⁹ N·m²/C², is derived from experimental measurements and is crucial in Coulomb's law, which describes how the force between charged objects varies with distance and charge magnitude. This constant is fundamental in electrostatics, allowing calculations of forces in various applications, including electrical engineering and physics. The other options represent different physical constants, such as the permittivity of free space or gravitational constant, which are not relevant to Coulomb's law.

7. The permittivity of free space (ε₀) has a value of 8.8542 x 10⁻¹² C²/N·m².

True

False

The permittivity of free space, denoted as ε₀, is a fundamental physical constant that quantifies the ability of a vacuum to permit electric field lines. Its value, approximately 8.8542 x 10⁻¹² C²/N·m², is crucial in electrostatics and is used in calculations involving capacitance, electric fields, and Coulomb's law. This constant is essential for understanding how electric charges interact in a vacuum, making it a foundational element in both classical and modern physics.

Explanation

The permittivity of free space, denoted as ε₀, is a fundamental physical constant that quantifies the ability of a vacuum to permit electric field lines. Its value, approximately 8.8542 x 10⁻¹² C²/N·m², is crucial in electrostatics and is used in calculations involving capacitance, electric fields, and Coulomb's law. This constant is essential for understanding how electric charges interact in a vacuum, making it a foundational element in both classical and modern physics.