Question

Четыре одинаковых заряда по 40 нКл расположены в вершинах квадрата со стороной 10 см. Найти силу, действующую на один из зарядов со стороны трёх остальных.

Answer 1

Calculation of the Force on a Charge

To find the force acting on one of the charges from the other three charges, we can use Coulomb's law. Coulomb's law states that the force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.

Given: - Four charges with the same magnitude of 40 nC (nanocoulombs) - The charges are located at the vertices of a square with a side length of 10 cm

To calculate the force on one of the charges from the other three charges, we can consider the charges as point charges and use the formula:

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

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

Let's calculate the force on one of the charges using the given information.

Calculation:

The distance between the charges is equal to the side length of the square, which is 10 cm or 0.1 m.

Using Coulomb's law, we can calculate the force between two charges:

F = (9 * 10^9 Nm^2/C^2) * (40 * 10^-9 C) * (40 * 10^-9 C) / (0.1 m)^2

Simplifying the equation:

F = (9 * 10^9 Nm^2/C^2) * (40 * 10^-9 C)^2 / (0.1 m)^2

F = (9 * 10^9 Nm^2/C^2) * (1600 * 10^-18 C^2) / (0.01 m^2)

F = (9 * 10^9 Nm^2/C^2) * (1.6 * 10^-15 C^2) / (0.01 m^2)

F = (9 * 10^9 Nm^2/C^2) * (1.6 * 10^-15 C^2) / (0.01 m^2)

F = 14.4 N

Therefore, the force acting on one of the charges from the other three charges is 14.4 N.