What Is The Electrical Force Between Q 1 Q_1 Q 1 ​ And Q 2 Q_2 Q 2 ​ ?Recall That K = 8.99 × 10 9 N ⋅ M 2 C 2 K = 8.99 \times 10^9 \, \text{N} \cdot \frac{\text{m}^2}{\text{C}^2} K = 8.99 × 1 0 9 N ⋅ C 2 M 2 ​ .- Q 1 = + 6 C Q_1 = +6 \, \text{C} Q 1 ​ = + 6 C - Q 2 = − 4 C Q_2 = -4 \, \text{C} Q 2 ​ = − 4 C Choose The Correct

Understanding Coulomb's Law

Coulomb's Law is a fundamental concept in physics that describes the interaction between charged particles. It states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. In this article, we will explore the electrical force between two charged particles, $q_1$ and $q_2$, and calculate the force using Coulomb's Law.

Coulomb's Law Formula

The formula for Coulomb's Law is given by:

$$F = k \cdot \frac{q_1 \cdot q_2}{r^2}$$

where:

• $F$ is the electrical force between the two charged particles
• $k$ is Coulomb's constant, which is equal to $8.99 \times 10^9 \, \text{N} \cdot \frac{\text{m}^2}{\text{C}^2}$
• $q_1$ and $q_2$ are the charges of the two particles
• $r$ is the distance between the two particles

Given Values

We are given the following values:

• $q_1 = +6 \, \text{C}$
• $q_2 = -4 \, \text{C}$
• $k = 8.99 \times 10^9 \, \text{N} \cdot \frac{\text{m}^2}{\text{C}^2}$

Calculating the Electrical Force

To calculate the electrical force between $q_1$ and $q_2$, we can plug in the given values into the formula for Coulomb's Law:

$$F = k \cdot \frac{q_1 \cdot q_2}{r^2}$$

Since we are not given the distance $r$ between the two particles, we will assume a value of $r = 1 \, \text{m}$ for the purpose of this calculation.

$$F = (8.99 \times 10^9 \, \text{N} \cdot \frac{\text{m}^2}{\text{C}^2}) \cdot \frac{(6 \, \text{C}) \cdot (-4 \, \text{C})}{(1 \, \text{m})^2}$$

$$F = (8.99 \times 10^9 \, \text{N} \cdot \frac{\text{m}^2}{\text{C}^2}) \cdot \frac{-24 \, \text{C}^2}{1 \, \text{m}^2}$$

$$F = -2.16 \times 10^{11} \, \text{N}$$

Interpretation of Results

The calculated electrical force between $q_1$ and $q_2$ is $-2.16 \times 10^{11} \, \text{N}$. This means that the force is attractive, since the charges have opposite signs. The magnitude of the force is $2.16 \times 10^{11} \, \text{N}$.

Conclusion

In this article, we have explored the electrical force between two charged particles, $q_1$ and $q_2$, using Coulomb's Law. We have calculated the force using the given values and have interpreted the results. The electrical force between two charged particles is a fundamental concept in physics that has many practical applications in fields such as engineering and materials science.

References

• [1] Coulomb, C. A. (1785). "Recherches sur les forces moyennes des corps & sur la variation de leurs forces élastiques & magnétiques." Histoire de l'Académie Royale des Sciences, 569-578.
• [2] Griffiths, D. J. (2017). Introduction to Electrodynamics. Pearson Education.

Frequently Asked Questions

• Q: What is Coulomb's Law? A: Coulomb's Law is a fundamental concept in physics that describes the interaction between charged particles.
• Q: What is the formula for Coulomb's Law? A: The formula for Coulomb's Law is given by $F = k \cdot \frac{q_1 \cdot q_2}{r^2}$.
• Q: What is the electrical force between two charged particles? A: The electrical force between two charged particles is given by the formula for Coulomb's Law.

Glossary

• Coulomb's Law: A fundamental concept in physics that describes the interaction between charged particles.
• Electrical force: The force between two charged particles.
• Coulomb's constant: A constant that appears in the formula for Coulomb's Law, equal to $8.99 \times 10^9 \, \text{N} \cdot \frac{\text{m}^2}{\text{C}^2}$.
• Charge: A property of a particle that determines its interaction with other particles.
  Q&A: Electrical Force Between Charged Particles =============================================

Q: What is Coulomb's Law?

A: Coulomb's Law is a fundamental concept in physics that describes the interaction between charged particles. It states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

Q: What is the formula for Coulomb's Law?

A: The formula for Coulomb's Law is given by:

$$F = k \cdot \frac{q_1 \cdot q_2}{r^2}$$

where:

• $F$ is the electrical force between the two charged particles
• $k$ is Coulomb's constant, which is equal to $8.99 \times 10^9 \, \text{N} \cdot \frac{\text{m}^2}{\text{C}^2}$
• $q_1$ and $q_2$ are the charges of the two particles
• $r$ is the distance between the two particles

Q: What is the electrical force between two charged particles?

A: The electrical force between two charged particles is given by the formula for Coulomb's Law. The force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

Q: What is the unit of measurement for the electrical force?

A: The unit of measurement for the electrical force is the Newton (N).

Q: What is the effect of distance on the electrical force?

A: The electrical force between two charged particles decreases as the distance between them increases. This is because the force is inversely proportional to the square of the distance.

Q: What is the effect of charge on the electrical force?

A: The electrical force between two charged particles increases as the magnitude of the charges increases. This is because the force is directly proportional to the product of the charges.

Q: Can the electrical force between two charged particles be negative?

A: Yes, the electrical force between two charged particles can be negative. This occurs when the charges have opposite signs.

Q: What is the significance of Coulomb's Law in everyday life?

A: Coulomb's Law has many practical applications in fields such as engineering and materials science. It is used to design and optimize electrical systems, such as power grids and electronic devices.

Q: Can Coulomb's Law be applied to charged particles in motion?

A: Yes, Coulomb's Law can be applied to charged particles in motion. However, the force between the particles will be affected by their velocities and the direction of their motion.

Q: What is the relationship between Coulomb's Law and other fundamental laws of physics?

A: Coulomb's Law is related to other fundamental laws of physics, such as Newton's Law of Universal Gravitation and the Law of Conservation of Energy. It is also connected to the concept of electric potential and electric field.

Q: Can Coulomb's Law be used to predict the behavior of charged particles in complex systems?

A: Yes, Coulomb's Law can be used to predict the behavior of charged particles in complex systems. However, the calculations can become complex and require the use of numerical methods and computational tools.

Q: What are some common applications of Coulomb's Law in engineering and materials science?

A: Some common applications of Coulomb's Law in engineering and materials science include:

• Designing and optimizing electrical systems, such as power grids and electronic devices
• Developing new materials with specific electrical properties
• Understanding the behavior of charged particles in complex systems, such as plasma and ionized gases

Q: Can Coulomb's Law be used to predict the behavior of charged particles in biological systems?

A: Yes, Coulomb's Law can be used to predict the behavior of charged particles in biological systems. However, the calculations can become complex and require the use of numerical methods and computational tools.

Q: What are some common challenges in applying Coulomb's Law to real-world systems?

A: Some common challenges in applying Coulomb's Law to real-world systems include:

• Dealing with complex and nonlinear systems
• Accounting for the effects of temperature, pressure, and other environmental factors
• Developing accurate and efficient numerical methods for solving the equations

Q: Can Coulomb's Law be used to predict the behavior of charged particles in quantum systems?

A: Yes, Coulomb's Law can be used to predict the behavior of charged particles in quantum systems. However, the calculations can become complex and require the use of advanced mathematical techniques and computational tools.

Q: What are some common applications of Coulomb's Law in quantum mechanics?

A: Some common applications of Coulomb's Law in quantum mechanics include:

• Understanding the behavior of charged particles in atomic and molecular systems
• Developing new materials with specific quantum properties
• Studying the behavior of charged particles in high-energy particle collisions