Question

Определите расстояние между двумя одиноковыми электрическими зарядами,находящимися в масле,с диэлектрической проницаемостью е,если сила взаимодействия между ними такая же,как в вакууме на расстрянии 30 см

Answer 1

Правильный ответ будет 0,19м

Answer 2

Calculating the Distance Between Two Identical Electric Charges in Oil

To determine the distance between two identical electric charges in oil, with a dielectric constant of ε, such that the force of interaction between them is the same as in a vacuum at a distance of 30 cm, we can use the formula for the force between two charges in a medium with a dielectric constant.

The force between two charges q1 and q2 separated by a distance r in a medium with dielectric constant ε is given by the formula:

F = (1 / (4 * π * ε)) * (q1 * q2) / r^2 Where: - F is the force between the charges - π is the mathematical constant pi - ε is the dielectric constant of the medium - q1 and q2 are the magnitudes of the charges - r is the distance between the charges

To find the distance between the charges in oil, we can rearrange the formula to solve for r:

r = sqrt((1 / (4 * π * ε)) * (q1 * q2) / F)

Given that the force of interaction between the charges is the same as in a vacuum at a distance of 30 cm, we can use this information to calculate the distance between the charges in oil.

Calculation

Using the given force in a vacuum (F_vacuum) at a distance of 30 cm, we can calculate the distance (r_oil) between the charges in oil using the formula:

r_oil = sqrt((1 / (4 * π * ε)) * (q1 * q2) / F_vacuum)

Substituting the given values: - ε (dielectric constant of oil) = e (value not provided) - q1 = q2 (identical charges) - F_vacuum = force of interaction in a vacuum at a distance of 30 cm

We can calculate the distance between the charges in oil using the above formula.

Conclusion

By using the provided formula and the given force of interaction in a vacuum at a distance of 30 cm, we can calculate the distance between the two identical electric charges in oil.