Question

У трьох вершинах квадрата зі стороною 10 см розташовані заряди -3 нКл, 6 нКл, - 9 нКл. Знайти напруженість електричного поля в четвертій вершині. ПОЯСНЕННЯ НЕ З ЧАТУ ДЖПТІ

Answer 1

Объяснение:

Напруженість електричного поля в четвертій вершині квадрата можна знайти за формулою:

E = k * (q1 / r1^2 + q2 / r2^2 + q3 / r3^2)

де k - постійна Кулонa, q1, q2, q3 - заряди в вершинах квадрата, r1, r2, r3 - відстані від цих зарядів до четвертої вершини.

Підставляючи дані у формулу, отримуємо:

E = 9 * 10^9 * (-3 * 10^-9 / (10 * 10^-2)^2 + 6 * 10^-9 / (10 * 10^-2)^2 + (-9 * 10^-9) / (10 * 10^-2)^2) = -1.8 * 10^5 Н/Кл

Таким чином, напруженість електричного поля в четвертій вершині квадрата дорівнює -1.8 * 10^5 Н/Кл.

Answer 2

To find the electric field intensity at the fourth vertex of the square, we can use the principle of superposition. The electric field intensity at a point due to multiple charges is the vector sum of the electric field intensities produced by each individual charge.

Let's consider the charges at the three vertices of the square:

1. Charge at the first vertex: -3 nC 2. Charge at the second vertex: 6 nC 3. Charge at the third vertex: -9 nC

The electric field intensity at the fourth vertex can be found by calculating the electric field intensity due to each charge separately and then adding them up.

Electric Field Intensity due to the first charge (-3 nC):

The electric field intensity due to a point charge is given by Coulomb's law:

E = k * (q / r^2)

Where: - E is the electric field intensity - k is the electrostatic constant (k = 9 * 10^9 Nm^2/C^2) - q is the charge - r is the distance from the charge to the point where the electric field is being calculated

In this case, the charge is -3 nC and the distance is the length of the side of the square, which is 10 cm.

Calculating the electric field intensity due to the first charge:

E1 = (9 * 10^9 Nm^2/C^2) * (-3 * 10^-9 C) / (0.1 m)^2

Electric Field Intensity due to the second charge (6 nC):

Calculating the electric field intensity due to the second charge:

E2 = (9 * 10^9 Nm^2/C^2) * (6 * 10^-9 C) / (0.1 m)^2

Electric Field Intensity due to the third charge (-9 nC):

Calculating the electric field intensity due to the third charge:

E3 = (9 * 10^9 Nm^2/C^2) * (-9 * 10^-9 C) / (0.1 m)^2

Total Electric Field Intensity at the fourth vertex:

To find the total electric field intensity at the fourth vertex, we need to add up the electric field intensities due to each charge:

E_total = E1 + E2 + E3

Now you can calculate the values of E1, E2, E3, and E_total using the given charges and the formula for electric field intensity.