Question

На каком расстоянии в вакууме должника находится зарядки по 3 нКл, если они взаимодействуют с силой 1 мН

Answer 1

Дано q1=10^-6 Кл    q2=10^-8 Кл      F=9*10^-3 Н    R- ?

по закону Кулона

F=k*q1*q2/R^2
R=√k*q1*q2/F=√9*10^9*10^-14/9*10^-3=0,1 м=10 cм

Answer 2

Calculating the Distance Between Charges in a Vacuum

To calculate the distance between charges in a vacuum, given the force of interaction and the magnitude of the charges, we can use Coulomb's law. Coulomb's law states that the force between two point charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them.

The formula for Coulomb's law is:

F = k * (|q1 * q2|) / r^2

Where: - F is the force between the charges, - k is Coulomb's constant (approximately 8.9875 x 10^9 N m^2/C^2), - q1 and q2 are the magnitudes of the charges, and - r is the distance between the charges.

Given: - Magnitude of each charge, q = 3 nC (nanocoulombs), - Force of interaction, F = 1 mN (millinewton).

We can rearrange the formula to solve for the distance r:

r = sqrt((k * |q1 * q2|) / F)

Substitute the given values: r = sqrt((8.9875 x 10^9 N m^2/C^2 * |3 x 10^-9 C * 3 x 10^-9 C|) / (1 x 10^-3 N))

Calculating the distance: r ≈ sqrt((8.9875 x 10^9 N m^2/C^2 * 9 x 10^-18 C^2) / (1 x 10^-3 N))

r ≈ sqrt(80.8875 x 10^-9 / 1 x 10^-3) r ≈ sqrt(80.8875 x 10^-6) r ≈ 0.008988 m

So, the distance between the charges in a vacuum is approximately 0.008988 meters.