Question

Два точечных одинаковых заряда взаимодействуют с силой 0,4 мН,находясь на расстоянии 5 см друг от друга. Какова величина каждого заряда?

Answer 1

Дано:                             СИ
F = 0,4 мН                  0,4*10⁻³ Н
q₁ = q₂ = q
r = 5 см                       5*10⁻² м
_________
q - ?

Решение:

F = k*q*q / r²
q = r*√ (F/k)
q = 5*10⁻²*(√ ( 0,4*10⁻³/9*10⁹) ≈ 1*10⁻⁸ Кл

Answer 2

Calculating the Magnitude of Each Charge

To calculate the magnitude of each charge, we can use the formula for the electrostatic force between two point charges:

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

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

Given: - F = 0.4 mN (0.4 * 10^-3 N) - r = 5 cm (5 * 10^-2 m)

We can rearrange the formula to solve for the magnitude of each charge:

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

Let's calculate the magnitude of each charge using the given values.