Question

Как изменится сила взаимодействия двух точечных зарядов, если модуль каждого из них увеличить в 2 раза?

Answer 1

Согласно закона Кулона сила взаимодействия двух зарядов прямо пропорциональна величине каждого из зарядов.

Answer 2

Change in the Force of Interaction Between Two Point Charges

When the magnitude of each of the two point charges is increased by a factor of 2, the force of interaction between them will change. The force of interaction between two point charges is given by Coulomb's law, which states that the force is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them.

According to Coulomb's law, the force of interaction between two point charges q1 and q2 separated by a distance r is given by the formula:

F = k * (|q1| * |q2|) / r^2 Where: - F is the force of interaction - k is the Coulomb's constant - |q1| and |q2| are the magnitudes of the two charges - r is the distance between the charges

Effect of Doubling the Magnitude of Each Charge

When the magnitude of each of the two charges is doubled, the force of interaction between them will change. According to Coulomb's law, the force of interaction is directly proportional to the product of the magnitudes of the charges. Therefore, if the magnitude of each charge is doubled, the force of interaction will increase by a factor of 4.

This can be understood by examining the formula for the force of interaction. If both |q1| and |q2| are doubled, the product |q1| * |q2| will increase by a factor of 4. As a result, the force of interaction will also increase by a factor of 4.

Therefore, the force of interaction between the two point charges will increase by a factor of 4 when the magnitude of each charge is doubled.

Conclusion

In summary, when the magnitude of each of the two point charges is increased by a factor of 2, the force of interaction between them will increase by a factor of 4, according to Coulomb's law.