Question

Два однакових за величиною і знаком точкових заряди, які знаходяться в вакуумі на відстані 3 м один від одного, відштовхуються з силою 0,4 Н. Визначте величину зарядів.​

Answer 1

Ответ:

Объяснение:

$k = 9*10^{9}\\ r = 3\\ F = 0,4H\\\\\\F = k*\frac{|q|*|q|}{r^{2} } \\F = k*\frac{q^{2} }{r^{2} } \\\\q^{2} = \frac{F*r^{2} }{k} \\q= \sqrt{\frac{F*r^{2} }{k}} = \sqrt{\frac{0,4*3^{2} }{9*10^{9} } } = 2*10^{-5}$

Answer 2

Calculation of the Charges of Two Point Charges

To determine the magnitude of the charges, we can use Coulomb's law, which states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

Given: - Distance between the charges: 3 m - Force between the charges: 0.4 N

Using Coulomb's law, we can write the equation as:

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

Where: - F is the force between the charges - k is the electrostatic constant (k = 9 x 10^9 Nm^2/C^2) - q1 and q2 are the magnitudes of the charges - r is the distance between the charges

We can rearrange the equation to solve for the magnitude of the charges:

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

Substituting the given values:

q1 * q2 = (0.4 N * (3 m)^2) / (9 x 10^9 Nm^2/C^2)

Calculating the right side of the equation:

q1 * q2 = 0.4 N * 9 m^2 / (9 x 10^9 Nm^2/C^2)

Simplifying:

q1 * q2 = 0.4 N * 1 m^2 / (10^9 C^2)

q1 * q2 = 0.4 * 10^-9 C^2

Therefore, the magnitude of the charges is 0.4 * 10^-9 C each.

Please note that the above calculation assumes that the charges are point charges and that the force between them is solely due to their electrostatic interaction in a vacuum.